Solve the inequality 5x-7 less than equal to 29+9x

Answer 1

To solve the inequality 5x - 7 ≤ 29 + 9x, we need to isolate x on one side of the inequality sign.

First, subtract 5x from both sides to get:
-7 ≤ 29 + 4x

Next, subtract 29 from both sides:
-7 - 29 ≤ 4x
-36 ≤ 4x

Finally, divide by 4 to isolate x:
-36/4 ≤ x
-9 ≤ x

Therefore, the solution to the inequality 5x - 7 ≤ 29 + 9x is x ≥ -9, or equivalently, -9 ≤ x.