Question

8 less than the product 13 times a number x is less than or equal to -32.minus, 32, point Write an inequality for the statement above. Find the solution set of the inequality. Write the solution using a fraction or integer.

Answer 1

Hey there!
The answer is x is less than or equal to - 1 11/13

Let's first rearrange the expression:
8 less than the product 13 times a number x.

The product of 13 and a number x can be written as 13x
We need to subtract 8 from this expression, so 13x - 8

Now set up an inequality:
8 less than the product 13 times a number x is less than or equal to -32


`13x - 8 \leq -32`
Add 8 to both sides


`13x \leq -24`
Divide both sides by 13.


`x \leq (-24)/(13) \\ x \leq - (24)/(13) \\ \\ \boxed{x \leq -1 (11)/(13) }`

The answer is x is less than or equal to - 1 11/13
~ Hope this helps you!