Solve 5x9<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 5x9 < 8, we divide both sides of the inequality by 5 to isolate the variable x.

(5x9)/5 < 8/5

9x < 1.6

To write this inequality with x coming first, we write:

x < 1.6/9

Now, let's express the fraction 1.6/9 as a mixed number.

1.6 divided by 9 is approximately equal to 0.1777777777777778.

To convert this decimal to a mixed number, we write the whole number part as 0, the fraction part as 177/1000, and simplify if needed.

0 + 177/1000

The solution to the inequality 5x9 < 8, written as a mixed number, is x < 0 177/1000.