solve 4/5(2x-3)>12 The solution set is
4/5(2x - 3)> 12
(8/5)x - 12/5 > 12
(8/5)x > 12 + (12/5)
(8/5)x > 72/5
x > (72/5)/(8/5)
x > (72/5) x (5/8)
x > ?
Finish it from there!
x>(72/8)=9
x>9
To solve the inequality 4/5(2x-3) > 12, we can follow these steps:
1. Distribute the 4/5 across the parentheses: (4/5) * (2x) - (4/5) * 3 > 12
This simplifies to: (8/5)x - 12/5 > 12
2. Add 12/5 to both sides of the inequality: (8/5)x > 12 + 12/5
This simplifies to: (8/5)x > 60/5 + 12/5
Combining the fractions, we get: (8/5)x > 72/5
3. Divide both sides by 8/5 to isolate x: (8/5)x / (8/5) > (72/5) / (8/5)
This simplifies to: x > (72/5) * (5/8)
Simplifying further, we have: x > 9
So, the solution set for the inequality 4/5(2x-3) > 12 is x > 9.