Which one of the following compound inequalities has no solution?

Which One Of The Following Compound Inequalities Has No Solution?

Answers

Answer 1

From the following compound inequalities, all the compound inequalities have a solution.

What is compound inequality?

A compound inequality is a type of inequality that comprises two basic inequalities.

From the given information, we have:

2x + 3 < 3x - 4 and 3x + 7 > 5x - 92(x -6) < 3(x+6) and 6(x+3) > 9(x-1)8x + 15 ≤ 4x - 5 and -7x + 2 < -6x + 3-5x - 1 ≥ -7x + 9 and -4x - 7 < 5x + 11

To determine the compound inequality with no solution, we need to solve each of the inequalities.

1.

2x + 3  < 3x - 4 and 3x + 7 > 5x - 9

Collect like terms

= 2x - 3x < - 4 - 3  and 3x - 5x > - 9 - 7

= -x < -7 and -2x > -16

= x < 7 and x > 8    (has a solution)

2.

2(x -6) < 3(x+6) and 6(x+3) > 9(x-1)

Open brackets

= 2x - 12 < 3x + 18 and 6x + 18 > 9x - 9

Collect like terms

= 2x - 3x < 18 + 12 and 6x - 9x > - 9 - 18

= - x < 30 and - 3x > - 27

= x > -30 and x > 9   (has a solution)

3.

8x + 15 ≤ 4x - 5 and -7x + 2 < -6x + 3

Collect like terms

= 8x - 4x  ≤ - 5 - 15 and -7x - 6x < 3 - 2

= 4x ≤ - 20 and -13x < 1

= x  ≤ -5 and x < - 1/13   ( has a solution)

4.

-5x - 1 ≥ -7x + 9 and -4x - 7 < 5x + 11

= -5x + 7x ≥ 9 + 1 and -4x -5x < 11 + 7

= 2x ≥ 10 and -9x < 18

= x  ≥ 5 and x < -2 ( has a solution)

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Related Questions

Evaluate the expression when a = 4 and c= -6

-a + 3c

Answers

Answer:

-22

Step-by-step explanation:

if a = 4, then it will be

-4 + 3(-6)

-4 - 18

which will be equal -22

4 + 3 × -6 = -22

Your welcome! :)


[tex]12 {p}^{5} r \div ( - 10pq)[/tex]
ASAP!!!! PLS HELP ​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{12p^{5}r}{-10pq} = \frac{-6p^{5-1}r}{5q}\\\\=\frac{-6p^{4}r}{5q}[/tex]

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

Find the Ares of a semi circle whose radius is 2.4 cm​

Answers

Answer:

Step-by-step explanation:

area of semi circle=πr^2/2

=3.14*(2.4)^2/2

=3.14*5.76/2

=18.0864/2

=9.0432 cm^2

Answer:

72/25 [tex]\pi[/tex] cm² or 9.047786842... cm²

Step-by-step explanation:

Area of whole circle is [tex]\pi r^{2}[/tex]

[tex]\pi[/tex]×2.4² = 144/25[tex]\pi[/tex] cm² or 18.09557368... cm²

Since it is a semi-circle, divide this value by 2 (or multiply by 0.5, either way, your halving it):

144/25[tex]\pi[/tex] ÷ 2 = 72/25 [tex]\pi[/tex] cm² or 9.047786842... cm²

The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?

Answers

Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.

A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.  

The general form with vertex (p,q) is

y = a(x-p)² + q

So for us, all our parabolas are of the form

y = a(x- -3)² + 9

y = a(x² + 6x + 9) + 9

y = ax² + 6ax + 9(a+1)

That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.

Some instances:

a=1 gives

Answer: y = x²+6x+18

a=4 gives

y = 4x² + 24x + 45

Other positive as give other possible answers; without the choices it's impossible to know which one they're seeking.

16. Show your work and check your answer(s).
√2x-1+7=4

Answers

Answer

X=25

Step-by-step explanation:

Determine the value for x in the picture below.

Answers

Answer:

x=9

Step-by-step explanation:

Similar triangles

8/20 = 6/(x+6)

==> 2/5 = 6/(x+6)

2/5x+12/5=6

2/5x=18/5

x=9

Answer is x = 6
I hope that helps

In a biscuit tin, there are 10 chocolate and 4 shortbread biscuits. What proportion are, a) Chocolate ?

Answers

Answer:

Proportion of chocolate in biscuit tin = 5:7

Step-by-step explanation:

Given:

Number of chocolate in biscuit tin = 10

Number of shortbread biscuits in biscuit tin = 4

Find:

Proportion of chocolate in biscuit tin

Computation:

Proportion of chocolate in biscuit tin = Number of chocolate in biscuit tin / Total product in biscuit tin

Proportion of chocolate in biscuit tin = 10 / [10 + 4]

Proportion of chocolate in biscuit tin = 10 / 14

Proportion of chocolate in biscuit tin = 5:7

need help? will get brainlylist

Answers

Answer:

its the first answer.

hope this helps you a lot.

Chord is a line that joins any two points on the circle

AC,BC

OPTION A is the correct answer

What is the value of the expression 5x2-8x+4 when x = -3

Answers

Answer:

5 x 2 - 8x + 4

5 x 2 - 24 + 4

10 - 24 + 4

-10

Answer: -10

PLEASE HELP I'LL GIVE BRAINLIEST

Answers

Answer:

841.8

Step-by-step explanation:

Question and choices are in the photo please explain the answer

Answers

Answer:

336

Step-by-step explanation:

The exclamation mark in math represents the factorial operation, which means you multiply the number by decreasing positive integers.

Therefore:

5! = 5 x 4 x 3 x 2 x 1 = 120.

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

8!/5! = 40320/120

40320/120 = 336

Find the value of x that will make line u parallel to line v. Show all of your work

Answers

Answer:

x = - 11

Step-by-step explanation:

u and v are parallel if you  have equal alternate interior angles .

that is ,

x + 111 = 100

x = 100 - 111

x = - 11

Find the missing angle measurements of HFG ? , fill in the boxes

Answers

Answer:

Angle HFG = 24 degrees

Step-by-step explanation:

From the diagram, we have the following;

Angle EFH and angle HFG are complementary (they add up to be 90 degrees)

angle EFH + angle HFG = 90

Angle HFG = 90-66

Angle HFG = 24 degrees

What is the area of this cube 6 4 5

Answers

120

6 times 4 times 5 = 120

Hope this helps


Tomas needs lumber to make corner braces for a piece of furniture he is building. He cuts 4 feet from a board that is 8 feet long. With the wood
he has left, Tomas makes 18 corner braces of equal size. How many inches of wood does each brace use?

Answers

Answer:

Each brace uses 2.[tex]\overline 6[/tex] inches of wood

Step-by-step explanation:

The given parameters are;

The length of the board from which he cuts the wood = 8 feet

The length of the wood he cuts from the board = 4 feet

The number of corners on the braces of equal sizes he makes with the wood he has left = 18 corner brace

We have;

The length of the wood he has left = (The length of the board) - (The length of the wood he cuts from the board)

∴ The length of the wood he has left = 8 feet - 4 feet = 4 feet

The length of each brace the man can cuts from the wood he has left = (The length of the wood he has left)/(The number of corner braces he cuts)

∴ The length of each brace = (4 feet)/(18 braces) = (48/18) inches/(braces) = (8/3) inches/brace = 2.[tex]\overline 6[/tex] inches of wood per brace

GELPPPPPP
(1) Distributive property
(2) Associative property
(3) Addition property of equality
(4) Division property of equality

Answers

Distributive property

If f(1)=7 and f(n)=3f(n-1)+3 then find the value of (3)

Answers

Given:

[tex]f(1)=7[/tex]

[tex]f(n)=3f(n-1)+3[/tex]

To find:

The value of f(3).

Solution:

We have,

[tex]f(n)=3f(n-1)+3[/tex]               ...(i)

Substituting [tex]n=2[/tex] in (i), we get

[tex]f(2)=3f(2-1)+3[/tex]

[tex]f(2)=3f(1)+3[/tex]

Substituting [tex]f(1)=7[/tex] in the above equation, we get

[tex]f(2)=3(7)+3[/tex]

[tex]f(2)=21+3[/tex]

[tex]f(2)=24[/tex]

Now, substituting [tex]n=3[/tex] in (i), we get

[tex]f(3)=3f(3-1)+3[/tex]

[tex]f(3)=3f(2)+3[/tex]

Substituting [tex]f(2)=24[/tex] in the above equation, we get

[tex]f(3)=3(24)+3[/tex]

[tex]f(3)=72+3[/tex]

[tex]f(3)=75[/tex]

Therefore, the value of f(3) is 75.

HELP NOWhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

r = 1/5

Step-by-step explanation:

Substitute x=15 and y=3 into the equation given.

Transpose so that r = 3/15

Simply 3/15

r = 1/5

Answer:

4.4/22 = .2

r=.2

Step-by-step explanation:

How many tiles would be in figure 100? Help :/

Answers

Answer: pretty sure it is 201 tiles

please mark me brainlies. That would be helpful

Robert has 3.38 pounds of cat food he uses 0.26 of cat food to feed one cat how many cats can Robert feed with the cat food he has

Answers

Answer:

Robert can feed 13 cats.

Step-by-step explanation:

To solve this we simply divide.

3.38 divided by 0.26 = 13

Therefore Robert can feed 13 cats.

What is the value of y in the equation y = 3x - 2, when x = 2

Answers

Answer:

y=4

Step-by-step explanation:

3 x 2=6

6 - 2= 4

Answer:

y = 4

Step-by-step explanation:

Equation: y = 3x - 2

Plug in x = 2

New equation: y = 3(2) - 2

Simplify: y = 6 - 2 --> y = 4

Answer: y = 4

PLEASE HELPP
use the spinner to find the odds in favor of stopping on a multiple of 6

Answers

1 and 9 are the awnser

Hey, can someone help me with this fast thanks!!

Answers

Answer:

Your answer is 82

Step-by-step explanation:

15+25+13+13+8+8=82

Answer: c

Step-by-step explanation:

Help on this anyone?

Answers

Answer:

If angle LMN is 63 degrees and angle LMO is 32 degrees and angle OMN + angle LMO is 63 degrees

we subtract 32 from 63 to find OMN

63-32 = 31

Step-by-step explanation:

Answer:

31 degrees

Step-by-step explanation:

The biggest angle is 63 degrees, for find OMN we have to do

63 - 32 = 31 degrees

What is the complete factorization of x2 + 4x − 45?

Answers

Answer:

(x-5) (x+9)

Step-by-step explanation:

what multiplies to -45 but adds to positive 4?  -5 and 9. that's how you get (x-5) (x+9)

2. Which trinomial below is equivalent to the square of the binomial x-5?
(1) x² + 25
(3) x? - 25
(2) x² -10x+25
(4) x?-10x – 25

Answers

Answer:

2)   x² - 10x + 25

Step-by-step explanation:

(x - 5)(x - 5) = x² - 5x  -5x + 25

Combining like terms

x² - 10x + 25

A dog's leash is 4 m long and is attached to the corner of a 2 m × 2 m square doghouse at C, as shown. The dog is attached to the other end of the leash, at D. What is the area outside of the doghouse in which the dog can play? (A) 14π m^2 (B) 16π m^2 (C) 20π m^2 (D) 15π m^2 (E) 24π m^2

Answers

The area outside of the doghouse in which the dog can play is 16π m².

Thus, option (B) is correct.

Given:

The leash is 4 m long.

The doghouse is a 2 m × 2 m square.

First, the area of a square is given by side length squared

So, the area of the doghouse is:

Area of the doghouse = side length² = 2²

                                                             = 4 m².

Next, the area of the circle with a radius of 4 m.

The area of a circle is given by the formula A = πr²,

So, Area of the circle = π(4²) = 16π m².

Therefore, the area is 16π m².

Thus, option (B) is correct.

Learn more about Area here:

https://brainly.com/question/30307509

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What is the maximum value of this function?

Answers

Maximum value if this parabola is 7 when x=6 giving the coordinate (6,7) so 7 is your answer

Amy deposits $8000 into an account that pays simple interest at a rate of 2% per year how much interest will she be paid in the first 4 years?

Answers

Dona will be paid 80 as interest. https://socratic.org/questions/donna-deposits-s800-into-an-account-that-pays-simple-interest-at-a-rate-of-2-per

-3 (7x + 7) = -38 - 4x

Answers

Answer:

x = 1

Step-by-step explanation:

-3 (7x + 7) = -38 - 4x

-3(7x)-3(7) = -38 - 4x

-21x - 21 = -38 - 4x

-21x+4x = -38+21

-17x = -17

x = -17/-17

x = 1

Answer:

x = 1.

Step-by-step explanation:

-3(7x + 7) = -38 - 4x

Use distributive property to get:

-21x - 21 = -38 - 4x

Add 4x to both sides to get:

- 17x - 21 = -38

Add 21 to both sides to get:

- 17x = -17

x = 1.

I hope this helps, have a nice day.

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