To solve the system of inequalities:7 + 2x > 5 + x3x + 2 < 8 + x
We first simplify each inequality separately:
1) 7 + 2x > 5 + xRearrange:2x - x > 5 - 7x > -2
2) 3x + 2 < 8 + xRearrange:3x - x < 8 - 22x < 6x < 3
Therefore, the solution to the system of inequalities is -2 < x < 3.
To solve the system of inequalities:
7 + 2x > 5 + x
3x + 2 < 8 + x
We first simplify each inequality separately:
1) 7 + 2x > 5 + x
Rearrange:
2x - x > 5 - 7
x > -2
2) 3x + 2 < 8 + x
Rearrange:
3x - x < 8 - 2
2x < 6
x < 3
Therefore, the solution to the system of inequalities is -2 < x < 3.