-12 < -7x - 5 + 14

Answer 1

To solve the inequality, we need to simplify the expression on the right side first:

-7x - 5 + 14 = -7x + 9

Now we can rewrite the inequality:

-12 < -7x + 9

To isolate the variable x, we need to bring the constant term to the other side of the inequality:

-12 - 9 < -7x

-21 < -7x

To solve for x, we need to divide both sides of the inequality by -7. However, note that dividing by a negative number flips the inequality sign:

-21 / -7 > x

3 > x

Therefore, the solution to the inequality is x > 3.