−36<−3x−9or

−42≥−3x−9

To solve the inequality −36 < −3x − 9, we first need to isolate the variable x.

Adding 9 to both sides gives us:
−27 < −3x

Dividing by -3 (remember that when you divide by a negative number, you need to flip the inequality sign) gives us:
9 > x

So, x > 9.

To solve the inequality −42 ≥ −3x − 9, we first need to isolate the variable x.

Adding 9 to both sides gives us:
−33 ≥ −3x

Dividing by -3 (remember that when you divide by a negative number, you need to flip the inequality sign) gives us:
11 ≤ x

So, x ≥ 11.