solve 3/5x + 2/5 > 3 2/5

Answer 1

To solve the inequality 3/5x + 2/5 > 3 2/5, you can follow these steps:

1. Convert both mixed numbers to improper fractions:
3 2/5 = (3*5 + 2)/5 = 17/5

2. Rewrite the inequality:
3/5x + 2/5 > 17/5

3. Multiply both sides of the inequality by the lowest common denominator (LCD) to eliminate the fractions. The LCD is 5.

5 * (3/5x + 2/5) > 5 * (17/5)

3x + 2 > 17

4. Subtract 2 from both sides of the inequality:
3x + 2 - 2 > 17 - 2

3x > 15

5. Divide both sides of the inequality by 3:
(3x)/3 > 15/3

x > 5

Therefore, the solution to the inequality 3/5x + 2/5 > 3 2/5 is x > 5.