Question

select the values that make the inequality $\frac{c}{5} > - 2$ true. then write an equivalent inequality, in terms of c. (numbers written in order from least to greatest going across.) answer attempt 2 out of 2 -20 -15 -13 -11 -10 -9 -7 -5 0 equivalent inequality: $c >$ 10 submit answer

Explanation:

Step1: Solve the inequality

Multiply both sides of $\frac{c}{5} > - 2$ by 5. According to the property of inequalities, when multiplying both sides of an inequality by a positive number, the direction of the inequality sign remains unchanged. So we get $c>-10$.

Step2: Select the values

We check each given value:

• For $c = - 20$, $\frac{-20}{5}=-4>-2$ is false.
• For $c=-15$, $\frac{-15}{5}=-3 > - 2$ is false.
• For $c = - 13$, $\frac{-13}{5}=-2.6>-2$ is false.
• For $c=-11$, $\frac{-11}{5}=-2.2>-2$ is false.
• For $c=-10$, $\frac{-10}{5}=-2>-2$ is false.
• For $c=-9$, $\frac{-9}{5}=-1.8>-2$ is true.
• For $c=-7$, $\frac{-7}{5}=-1.4>-2$ is true.
• For $c=-5$, $\frac{-5}{5}=-1>-2$ is true.
• For $c = 0$, $\frac{0}{5}=0>-2$ is true.

Answer:

The values that make the inequality true are -9, -7, -5, 0.
The equivalent inequality is $c > - 10$.