Verified Answer :

13x - 8 < = -32
13x < = -32 + 8
13x < = - 24
x < = -24/13

Answer:

\(x\geq\frac{40}{13}\)

Step-by-step explanation:

We have been given an inequality which is:

8 less than 13 times a number x which gives  8-13 x

And less than or equal to -32 which gives: \(8-13x\leq -32\)

We will solve for x we get:

\(-13x\leq -32-8\)

\(-13x\leq -40\)

On further simplification we get:

\(x\geq\frac{40}{13}\)