Question

-4x - 7 > 1

Answer 1

To solve this inequality, we need to isolate the variable x by performing the following steps:

1. Add 7 to both sides of the inequality:
-4x - 7 + 7 > 1 + 7
-4x > 8

2. Divide both sides by -4 (since the coefficient of x is -4 and dividing by a negative number reverses the inequality):
-4x / -4 < 8 / -4
x < -2

Therefore, the solution to the inequality -4x - 7 > 1 is x < -2.