Answer:
[-3,5)
Step-by-step explanation:
Compound inequality
We are required to solve:
2x - 3 < 7
And
:
5 - x = 8
The solution is the conjunction (AND) of the individual solutions because both conditions must be met.
From the first inequality we have:
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)
