Simplify 1/2(c - 3) to c - 3/2
c - 3/2 + 3/4c > 1/2(2c + 3) + 3/8
Simplify 3/4c to 3c/4
c - 3/2 + 3c/4 > 1/2(2c + 3) + 3/8
Simplify 1/2(2c + 3) to 2x + 3/2
c - 3/2 + 3c/4 > 2c + c/2 + 3/8
Multiply both sides by 4 (The LCM of 2, 4)
2(c - 3) + 3c > 2(2c + 3) + 3/2
Expand
2x - 6 + 3c > 4c + 6 + 3/2
Simplify 2c - 6 + 3c to 5c - 6
5c - 6 > 4c + 6 + 3/2
Simplify 4c + 6 + 3/2 to 4c + 15/2
5c - 6 > 4c + 15/2
Add 6 to both sides
5c > 4c + 15/2 + 6
Simplify 4c + 15/2 + 6 to 4c + 27/2
5c > 4c + 27/2
Subtract 4c from both sides
5c - 4c > 27/2
Simplify 5c - 4c to c
c > 27/2
