Select the values that make the inequality start fraction, s, divided by, minus, 4, end fraction, is less than, minus, 2

Question

−4
s
​
<−2 true. Then write an equivalent inequality, in terms of ss.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 2

0 4 5
7 8 9
11 12 16
Equivalent Inequality: ss

Answer 1

To solve the inequality \( \frac{s}{-4} < -2 \), we can start by multiplying both sides by \(-4\). However, since we are multiplying by a negative number, we must reverse the inequality sign.

So we have:

\[ s > -2 \cdot -4 \]

Calculating the right side, we get:

\[ s > 8 \]

The values that satisfy the inequality \( s > 8 \) from the numbers given (0, 4, 5, 7, 8, 9, 11, 12, 16) are:

• 9
• 11
• 12
• 16

So the numbers that satisfy the inequality (from least to greatest) are:

9, 11, 12, 16

The equivalent inequality in terms of \( s \) is:

s > 8.