Answer:
[-3,5)
Step-by-step explanation:
Compound inequality
2x - 3 < 7
And
5 - x ≤ 8
The solution is the conjunction of the individual solutions because both conditions must be met.
From the first inequality we get:
2x < 7 + 3
2x < 10
x < 5
From the second inequality we get:
- x ≤ 8 - 5
- x ≤ 3
Multiplying by -1 and flipping the sign:
x ≥ -3
Thus the solution is the set of numbers that lie in the interval [-3,5)
