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.