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.

Question

Note: You will find the option to add a >
, <
, ≥
, or ≤

Answer 1

To solve the inequality 5x/9 < 8, we need to isolate x.

Multiplying both sides of the inequality by 9 gives us:

5x < 8 * 9

5x < 72

To solve for x, divide both sides of the inequality by 5:

x < 72/5

The improper fraction 72/5 can be written as a mixed number by dividing the numerator (72) by the denominator (5):

72 ÷ 5 = 14 remainder 2

So, the mixed number representation of 72/5 is 14 2/5.

Therefore, the solution to the inequality 5x/9 < 8 is x < 14 2/5. Note that the symbol "<" does not change in the solution as it already signifies "less than".