Solve the inequality.

Question

42 − 3x < −15
Which inequality represents the solutions to this inequality?
Responses
x>19

x>−9

x<19

x< –9

Answer 1

To solve the inequality \( 42 - 3x < -15 \), follow these steps:

1. Subtract 42 from both sides: \[ -3x < -15 - 42 \] \[ -3x < -57 \]

2. Divide both sides by -3. Remember that when you divide or multiply by a negative number, you must reverse the inequality sign: \[ x > 19 \]

Therefore, the solution to the inequality is \( x > 19 \).

The correct response is: x > 19.