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.

Question

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Answer 1

First, let's solve the inequality 5x9 < 8.

To isolate x, we need to divide both sides of the inequality by 5: (5x9)/5 < 8/5.

Simplifying, we have: 9x < 8/5.

Now, to express the improper fraction as a mixed number, we divide the numerator (8) by the denominator (5), which gives us a quotient of 1 and a remainder of 3. Therefore, we can write 8/5 as 1 and 3/5.

This gives us: 9x < 1 3/5.

Finally, we can write the inequality with x coming first: x < 1 3/5.