MATH SOLVE

10 months ago

Q:
# 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.

Accepted Solution

A:

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

[tex]13x - 8 \leq -32[/tex]

Add 8 to both sides

[tex]13x \leq -24[/tex]

Divide both sides by 13.

[tex]x \leq \frac{-24}{13} \\ x \leq - \frac{24}{13} \\ \\ \boxed{x \leq -1 \frac{11}{13} }[/tex]

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

~ Hope this helps you!

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

[tex]13x - 8 \leq -32[/tex]

Add 8 to both sides

[tex]13x \leq -24[/tex]

Divide both sides by 13.

[tex]x \leq \frac{-24}{13} \\ x \leq - \frac{24}{13} \\ \\ \boxed{x \leq -1 \frac{11}{13} }[/tex]

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

~ Hope this helps you!