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 > 1644x4 − 12 > 164
4(4x - 12) > 16(4)
The next step could be:
4x - 12 + 12 > 16 + 12
4x - 12 - (-12) > 16 - (-12)
4(4x - 12) > 16(4)
The possible next steps are:
- 4x - 12 + 12 > 16 + 12
- 4x - 12 - (-12) > 16 - (-12)
- 4(4x - 12) > 16(4)
To solve the inequality 4(x - 3) > 16, Mari's first step is to distribute the 4 to both terms inside the parentheses. This gives us 4x - 12 > 16.
The next step should be to isolate the variable term, which is 4x in this case. To do this, we can add 12 to both sides of the inequality to get rid of the -12. This step is represented by the equation 4x - 12 + 12 > 16 + 12.
So, the correct next step is 4x - 12 + 12 > 16 + 12.