Question

question
select the values that make the inequality \\(\frac{c}{-5} > 9\\) true. then write an equivalent inequality, in terms of \\(c\\).
(numbers written in order from least to greatest going across.)

answer attempt 1 out of 2
-55 -50 -48
-46 -45 -44
-42 -40 -35
equivalent inequality: \\(c\\) ~ \\(\square\\)

Explanation:

Step1: Solve the inequality $\frac{c}{-5} > 9$

Multiply both sides by -5. Remember, when multiplying or dividing an inequality by a negative number, the inequality sign flips. So we have:
$$c < 9\times(-5)$$

Step2: Calculate $9\times(-5)$

$$9\times(-5)= -45$$
So the inequality becomes $c < -45$. Now we check which of the given numbers are less than -45. The numbers less than -45 from the list are -55, -50, -48, -46.

Answer:

The values that make the inequality true are -55, -50, -48, -46.
Equivalent Inequality: $c < -45$