To solve the system of inequalities7 + 2x > 5 + 3x + 2 < 8 + x
We first simplify each inequality separately:
1) 7 + 2x > 5 + Rearrange2x - x > 5 - x > -2
2) 3x + 2 < 8 + Rearrange3x - x < 8 - 2x < x < 3
Therefore, the solution to the system of inequalities is -2 < x < 3.
To solve the system of inequalities
7 + 2x > 5 +
3x + 2 < 8 + x
We first simplify each inequality separately:
1) 7 + 2x > 5 +
Rearrange
2x - x > 5 -
x > -2
2) 3x + 2 < 8 +
Rearrange
3x - x < 8 -
2x <
x < 3
Therefore, the solution to the system of inequalities is -2 < x < 3.