Question

Solve the inequality.
How can you interpret the inequality?
-5b ≤ 35

-5 times b is less than 35

-5 times b is greater than or equal to 35

-5 times b is less than or equal to 35

-5 times b is greater than 35
Good work!
To solve the inequality, first solve for the value of b that makes the associated equation true. That will give you the boundary point for the inequality. Solve on paper or show your work below. Then, enter your answer on Zearn.
-5b ≤ 35
−5b
=
35

b
=

Answer 1

To solve the inequality \(-5b \leq 35\), we start by solving the corresponding equation:

\[
-5b = 35
\]

To isolate \(b\), divide both sides by \(-5\). Remember that dividing or multiplying by a negative number reverses the inequality:

\[
b = \frac{35}{-5}
\]
\[
b = -7
\]

Now, since we are dealing with an inequality and not just the equation, we have the boundary point \(b = -7\).

Given that our original inequality was \(-5b \leq 35\), we will solve it in context:

1. We divide by \(-5\), which will switch the inequality sign:
\[
b \geq -7
\]

Thus, the solution to the inequality \(-5b \leq 35\) is:

\[
b \geq -7
\]

### Interpretation of the inequality:

From the options you provided, the correct interpretation is:
-5 times b is less than or equal to 35.

This means that \(b\) can be any value that is greater than or equal to \(-7\).