Select the values that make the inequality start fraction, c, divided by, 5, end fraction, ≤, minus, 6

Question

5
c
​
≤−6 true. Then write an equivalent inequality, in terms of cc.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 2

-40 -35 -33
-31 -30 -29
-27 -25 -20

Answer 1

To solve the inequality \( \frac{c}{5} \leq -6 \), we first eliminate the fraction by multiplying both sides of the inequality by 5. This is valid because 5 is positive, and it does not change the direction of the inequality.

\[ c \leq -6 \times 5 \]

Calculating the right side:

\[ c \leq -30 \]

This means that \( c \) can take on any value that is less than or equal to -30.

Now, looking at the given values:

• -40
• -35
• -33
• -31
• -30
• -29
• -27
• -25
• -20

We want to find which of these values satisfy the inequality \( c \leq -30 \). The values that satisfy this condition are:

• -40
• -35
• -33
• -31
• -30

So the answer in order from least to greatest is:

-40, -35, -33, -31, -30.