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.
O 4x - 12 + 12 > 16 + 12
O 4x - 12 - (- 12) > 16 - (- 12)
O (1/4)(4x - 12) > 16(1/(4))
O 4x/4 - 12 > 16/4
O 4(4x - 12) > 16(4)
- 4x - 12 > 16 + 12
- (4/4)(4x - 12) > 16(4/4)
The next step could be:
- 4x - 12 + 12 > 16 + 12
- 4x - 12 - (-12) > 16 - (-12)
- 4x/4 - 12 > 16/4
So the correct options are:
- 4x - 12 + 12 > 16 + 12
- 4x - 12 - (-12) > 16 - (-12)
- 4x/4 - 12 > 16/4
The next step could be:
O 4x - 12 + 12 > 16 + 12
Explanation: To isolate the variable, Mari needs to eliminate the constant term on the left side of the inequality. Adding 12 to both sides will cancel out the -12 term on the left side and result in the inequality 4x > 28.
O 4x - 12 - (- 12) > 16 - (- 12)
Explanation: This step involves multiplying -1 by -12 to get +12, which results in 4x - 12 + 12 > 16 + 12. This simplifies to 4x > 28.
O (1/4)(4x - 12) > 16(1/(4))
Explanation: This step involves dividing both sides of the inequality by 4 to isolate the variable. Simplifying the equation results in x - 3 > 4.
O 4x/4 - 12 > 16/4
Explanation: In this step, Mari divides both sides of the inequality by 4 to isolate the variable. The equation simplifies to x - 12 > 4.
O 4(4x - 12) > 16(4)
Explanation: This step involves multiplying both sides of the inequality by 4 to eliminate the parentheses. It simplifies to 16x - 48 > 64.
So, the possible next steps are:
- O 4x - 12 + 12 > 16 + 12
- O 4x - 12 - (- 12) > 16 - (- 12)