Solve the inequality. Write the solution in interval notation.
7−8x≤15
Select the correct choice below, and fill in the answer box if necessary..
The solution set is
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(Type your answer in interval notation. Use integers or fractions for any numbers in the expression.).
There is no solution.
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, ∞).