Solve 5x9<8

Question

. Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x
comes first.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

(1 point)

Answer 1

To solve the inequality \( 5x < 8 \), we will first isolate \( x \).

1. Divide both sides by 5: \[ x < \frac{8}{5} \]

Now, we need to convert the improper fraction \( \frac{8}{5} \) into a mixed number.

To do this:

• Divide 8 by 5, which goes 1 time with a remainder of 3.
• This gives us \( 1 \) whole and a remainder of \( 3 \) out of \( 5 \).

Thus, \( \frac{8}{5} = 1 \frac{3}{5} \).

Putting it all together, we express the inequality as: \[ x < 1 \frac{3}{5} \]