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.

Answer 1

To solve the inequality 5x/9 < 8, we can begin by multiplying both sides of the inequality by 9 to get rid of the fraction:

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

Simplifying, we have:

5x < 72

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

(5x) / 5 < 72 / 5

Simplifying further, we obtain:

x < 14.4

Therefore, the solution to the inequality is x < 14.4.

Answer 2

wrong

Answer 3

Apologies for the mistake.

To solve 5x/9 < 8, we can begin by multiplying both sides of the inequality by 9 to get rid of the fraction:

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

Simplifying, we have:

5x < 72

Now, we can divide both sides of the inequality by 5 to isolate x:

(5x) / 5 < 72 / 5

Simplifying further, we obtain:

x < 14.4

Now, let's write the improper fraction as a mixed number. Since x < 14.4, the greatest whole number that is less than 14.4 is 14. Therefore, we have:

x < 14 and 4/10

Simplifying the fraction, we get:

x < 14 and 2/5

Thus, the answer is x < 14 and 2/5.