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.
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!