Solve the inequality. Write the solution in interval notation.

Question

7−8x≤15

Select the correct choice​ below, and fill in the answer box if necessary..
The solution set is
enter your response here
​(Type your answer in interval notation. Use integers or fractions for any numbers in the​ expression.).
There is no solution.

Answer 1

To solve the inequality 7 - 8x ≤ 15, we need to isolate x on one side of the inequality.

First, we subtract 7 from both sides:
7 - 8x - 7 ≤ 15 - 7
-8x ≤ 8

Next, we divide both sides by -8 (remembering to flip the inequality sign when dividing by a negative number):
-8x/(-8) ≥ 8/(-8)
x ≥ -1

Therefore, the solution set is x ≥ -1. This is written in interval notation as (-1, ∞).