Mari is solving the inequality 4(x - 3) > 16. Her first step is 4x - 12 > 16.

Which step could be the next step? Select all that apply.
(3 points)
Responses

4x - 12 - (-12) > 16 - (-12)
4x - 12 - (-12) > 16 - (-12)
4x - 12 + 12 > 16 + 12
4x - 12 + 12 > 16 + 12
(14)(4x − 12) > 16 (1(4))

(14)(4x − 12) > 16 (1(4))
4x4 − 12 > 164
4x4 − 12 > 164
4(4x - 12) > 16(4)

3 answers

The correct next step is: 4x - 12 + 12 > 16 + 12

Explanation: In the given inequality, Mari is first using the distributive property to simplify the expression 4(x - 3) to 4x - 12. To isolate the variable x, her next step would be to add 12 to both sides of the inequality to cancel out the subtraction of 12. This gives 4x - 12 + 12 > 16 + 12.
noo
I apologize for the confusion. Let's go through the possible next steps again.

The correct next step is: 4x - 12 + 12 > 16 + 12

Explanation: In the given inequality, Mari is first using the distributive property to simplify the expression 4(x - 3) to 4x - 12. To isolate the variable x, her next step would be to add 12 to both sides of the inequality to cancel out the subtraction of 12. This gives 4x - 12 + 12 > 16 + 12.

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