1+3x > 10
Subtract 1 from both sides:3x > 9
Divide by 3:x > 3
3x + 8 < 0
Subtract 8 from both sides:3x < -8
Divide by 3:x < -8/3
6 - x < 2
Subtract 6 from both sides:-x < -4
Multiply by -1 (reverse inequality):x > 4
9 - x > 0
Subtract 9 from both sides:-x > -9
Multiply by -1 (reverse inequality):x < 9
Therefore, the solution to the system of inequalities is -3 < x < 4.
1+3x > 10
Subtract 1 from both sides:
3x > 9
Divide by 3:
x > 3
3x + 8 < 0
Subtract 8 from both sides:
3x < -8
Divide by 3:
x < -8/3
6 - x < 2
Subtract 6 from both sides:
-x < -4
Multiply by -1 (reverse inequality):
x > 4
9 - x > 0
Subtract 9 from both sides:
-x > -9
Multiply by -1 (reverse inequality):
x < 9
Therefore, the solution to the system of inequalities is -3 < x < 4.