1) 9x - 2(2x - 3) < 3(x + 19x - 4x + 6 < 3x + 5x + 6 < 3x + 5x - 3x < 3 - 2x < -x < -3/2 or x < -1.5
2) { 3x - 2 < 2 + 53x - 5x < 2 + -2x < x > -2
{ 8x > 15 - 28x + 2x > 110x > 1x > 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 +
5x + 6 < 3x +
5x - 3x < 3 -
2x < -
x < -3/2 or x < -1.5
2) { 3x - 2 < 2 + 5
3x - 5x < 2 +
-2x <
x > -2
{ 8x > 15 - 2
8x + 2x > 1
10x > 1
x > 1.5
Therefore, the solution to the system of inequalities is x > -2.