Question

Complete the statement so that it represents the solution to the inequality. Use the table to help you.

4x < 8
x 

 

<

≥

≤

>

 

x=1

x=2 (boundary)

x=3

4x < 8truefalsefalse

Answer 1

To solve the inequality \( 4x < 8 \), we can first simplify it:

1. Divide both sides by 4:
\[
x < 2
\]

Next, let's interpret the inequality \( x < 2 \) using the values provided in the table.

- For \( x = 1 \): True (since \( 1 < 2 \))
- For \( x = 2 \): False (since \( 2 < 2 \) is not true)
- For \( x = 3 \): False (since \( 3 < 2 \) is not true)

The inequality \( x < 2 \) means that \( x \) can take any value less than 2.

To complete the statement based on the data provided, we can say:

4x < 8
x **<** 2

Here, the solution to the inequality is represented correctly: \( x < 2 \).