Question

olve 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.

Answer 1

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

First, we can multiply both sides of the inequality by 9 to eliminate the fraction:

(5x/9) * 9 < 8 * 9

This simplifies to:

5x < 72

Next, we can divide both sides of the inequality by 5:

(5x)/5 < 72/5

This simplifies to:

x < 14.4

Since x should come first according to the given prompt, the inequality can be written as:

x < 14.4

Now, we need to write the improper fraction 14.4 as a mixed number, which consists of a whole number and a proper fraction.

14.4 can be written as 14 and 4/10. Simplifying the fraction gives 14 and 2/5.

Therefore, the inequality can be written as:

x < 14 2/5.