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)

1 answer

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: \[ x < 14 \frac{2}{5} \]

Similar Questions
  1. Inequalities Unit Test3 of 153 of 15 Items Question Which symbol in place of the question mark makes the inequality 2x ? 20 true
    1. answers icon 11 answers
  2. QuestionSolve 3x≥12 . Make sure to write your inequality so that x comes first. Note: You will find the option to add a > , <
    1. answers icon 1 answer
  3. QuestionSolve 2x+10≥12 . Make sure to write your inequality so that x comes first. Note: You will find the option to add a > ,
    1. answers icon 1 answer
    1. answers icon 19 answers
more similar questions