What are the integer values of x which satisfy the inequality -1 < 3 -2x \(\leq\) 5?
A
-1. 0, 1, 2
B
-2, 1, 0 , -1
C
0, 1, 2
D
-1, 0, 1
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
-1 < 3 -2x and 3 - 2x \(\leq\) 5
2x < 3 + 1 and -2x \(\leq\) 5 - 3
2x < 4 and -2x \(\leq\) 2
x < 2 and x \(\geq\) 2/-2 = x \(\geq\) -1
If -1 \(\leq\) x < 2
it implies that x = -1, 0, 1
Source: Myschool Past Questions Archive (Record #8200)