Question

Question

Solve 5x/9<8
. 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 \( \frac{5x}{9} < 8 \), follow these steps:

1. Multiply both sides by 9 to eliminate the fraction: \[ 5x < 72 \]

2. Next, divide both sides by 5: \[ x < \frac{72}{5} \]

3. Now, convert \( \frac{72}{5} \) into a mixed number. To do this, divide 72 by 5:

   • 72 divided by 5 is 14 with a remainder of 2.
   • So, \( \frac{72}{5} = 14 \frac{2}{5} \).

Now, writing the inequality with \( x \) first, we get: \[ x < 14 \frac{2}{5} \]

Thus, the final answer is: \[ x < 14 \frac{2}{5} \]