Question

consider the inequality

5/9w greater than or equal to 8

which step is needed to solve this inequality

Answer 1

answer choices

add 5/9 to both sides

subtract 5/9 to both sides of the inequality

multiply 5/9 on both sides of the inequality

divide 5/9 on both sides of the inequality

Answer 2

To solve the inequality \( \frac{5}{9}w \geq 8 \), you need to isolate \( w \). Here's how you can do that step by step:

1. **Multiply both sides by the reciprocal of \( \frac{5}{9} \)**, which is \( \frac{9}{5} \). This step helps eliminate the fraction and isolate \( w \).

So the step you would take is:

\[
w \geq 8 \cdot \frac{9}{5}
\]

Calculating that gives:

\[
w \geq \frac{72}{5}
\]

Thus, the main step needed to solve the inequality is multiplying both sides by \( \frac{9}{5} \).