Question

Select the values that make the inequality minus, 9, x, is greater than, minus, 72−9x>−72 true. Then write an equivalent inequality, in terms of xx.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 2

-2 3 5
7 8 9
11 13 18
Equivalent Inequality: xx

Answer 1

To solve the inequality \(-9x > -72\), we can isolate \(x\) by dividing both sides of the inequality by \(-9\). Remember that when we divide or multiply both sides of an inequality by a negative number, we must flip the direction of the inequality sign.

Starting with the inequality:

\[
-9x > -72
\]

Divide both sides by \(-9\):

\[
x < \frac{-72}{-9}
\]

This simplifies to:

\[
x < 8
\]

Now we have the equivalent inequality:

\[
x < 8
\]

The values you provided (in order from least to greatest) are:
-2, 3, 5, 7, 8, 9, 11, 13, 18

The values that satisfy the inequality \(x < 8\) are:

-2, 3, 5, 7

Therefore, the selected values are:
\(-2, 3, 5, 7\)

And the equivalent inequality is:
\(x < 8\)