To solve the first inequality:
3x - 11 > 2x + 13Subtract 2x from both sidesx - 11 > 13Add 11 to both sidesx > 24
To solve the second inequality:
17x + 9 < 9x + 99Subtract 9x from both sides8x + 9 < 99Subtract 9 from both sides8x < 90Divide by 8x < 11.25
Therefore, the solution to the system of inequalities is x > 24 and x < 11.25.
To solve the first inequality:
3x - 11 > 2x + 13
Subtract 2x from both sides
x - 11 > 13
Add 11 to both sides
x > 24
To solve the second inequality:
17x + 9 < 9x + 99
Subtract 9x from both sides
8x + 9 < 99
Subtract 9 from both sides
8x < 90
Divide by 8
x < 11.25
Therefore, the solution to the system of inequalities is x > 24 and x < 11.25.