Look at this inequality: 12−4x ≤ 20

Which of these shows the solution to this inequality?

Question options:

Answer: The last line is the answer

12 - 4x < 20

20 - 12 = 8

-4x = 8

-4/4 = 8/-4

x = -2

New inequality: x > -2

Step-by-step explanation:

The correct option is d. The solution to the linear  inequality 12 - 4x ≤ 20 is x ≥ -2 by solving the inequality.

To solve this inequality,  to isolate the variable x.

Step 1

        [tex]12 - 12 - 4x \leq 20 - 12,[/tex]

         [tex]-4x \leq 8.[/tex]

Step 2 :

Therefore, the solution to the inequality is x ≥ -2. The correct option is d.

Learn more about solving inequalities here:

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A
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