Question

Find the solution set to this inequality

Answer 1

x > 1/2

Explanation:

1. multiply both sides by 2 (because of the fraction)

2x-3(*2)>2x-5/2(*2)

4x−6>2x−5

2. solve for x

4x-6>2x-5

4x-2x>-5+6

2x>1

3. divide

2x>1

2x/2>1/2

x>1/2

and thats your answer, x>1/2!

Answer 2

x>1/2

Explanation:

2x - 3 > (2x - 5)/2 Multiply by 2 on both sides

2(2x - 3)> (2x - 5) Remove the brackets

4x - 6 > 2x - 5 Subtract 2x from both sides

4x - 2x - 6> 2x-2x - 5 Combine

2x - 6 > - 5 Add 6 to both sides

2x - 6+6 > -5 + 6

2x > 1 Divide by 2

z > 1/2