Answer:
-3<x<5
Explanation:
Given the inequality 2x-3<7 and 5-x<8
Solve 2x-3<7
Add 3 to both sides
2x-3+3 < 7+3
2x < 10
2x/2 < 10/2
x < 5
Solve 5-x<8
subtract 5 from both sides:
5-x-5<8-5
-x < 3
multiply both sides by -1
-(-x) > -3
x > -3
-3<x
Combine both solutions x < 5 and -3<x
-3<x<5
The solution to the compound inequality is -3<x<5