1) 9x - 2(2x - 3) < 3(x + 1)9x - 4x + 6 < 3x + 35x + 6 < 3x + 35x - 3x < 3 - 62x < -3x < -3/2 or x < -1.5
2) { 3x - 2 < 2 + 5x3x - 5x < 2 + 2-2x < 4x > -2
{ 8x > 15 - 2x8x + 2x > 1510x > 15x > 1.5
Therefore, the solution to the system of inequalities is x > -2.
1) 9x - 2(2x - 3) < 3(x + 1)
9x - 4x + 6 < 3x + 3
5x + 6 < 3x + 3
5x - 3x < 3 - 6
2x < -3
x < -3/2 or x < -1.5
2) { 3x - 2 < 2 + 5x
3x - 5x < 2 + 2
-2x < 4
x > -2
{ 8x > 15 - 2x
8x + 2x > 15
10x > 15
x > 1.5
Therefore, the solution to the system of inequalities is x > -2.