Question

Solve the inequality: 5x/9 < 8. Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x comes : you will find the option to add a > , < , ≥ , or ≤ symbol in the comparison (<) keyboard.

Options:

Option 1: > (greater than)
Option 2: < (less than)
Option 3: ≥ (greater than or equal to)
Option 4: ≤ (less than or equal to)

Answer 1

To solve the inequality 5x/9 < 8 and write it as a mixed number, multiply both sides by 9, divide both sides by 5, and express the solution as x < 14 2/5.

Step-by-step explanation:

To solve the inequality 5x/9 < 8, we want to isolate x. First, we can multiply both sides of the inequality by 9 to get rid of the fraction: 5x < 72. Then, we can divide both sides by 5 to solve for x: x < 14.4. However, since the question asks for the inequality to be written in terms of a mixed number, we can write 14.4 as a mixed number: 14 2/5. Therefore, the solution to the inequality is x < 14 2/5.