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 need to isolate x on one side of the inequality.

Starting with the given inequality:
5x/9 < 8

To eliminate the fraction, we can multiply both sides of the inequality by 9:
9 * 5x/9 < 8 * 9
5x < 72

Now, to isolate x, we divide both sides of the inequality by 5:
5x/5 < 72/5
x < 72/5

To write the improper fraction 72/5 as a mixed number, we divide the numerator (72) by the denominator (5):
72 ÷ 5 = 14 remainder 2

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

Therefore, the solution to the inequality 5x/9 < 8 with x coming first is:
x < 14 2/5

Answer 2

Solve x/13<4/5

Answer 3

To solve the inequality x/13 < 4/5, we need to isolate x on one side of the inequality.

Starting with the given inequality:
x/13 < 4/5

To eliminate the fraction, we can multiply both sides of the inequality by 13:
13 * (x/13) < 13 * (4/5)
x < 52/5

To write the improper fraction 52/5 as a mixed number, we divide the numerator (52) by the denominator (5):
52 ÷ 5 = 10 remainder 2

So, the mixed number representation of 52/5 is 10 and 2/5.

Therefore, the solution to the inequality x/13 < 4/5 with x coming first is:
x < 10 2/5