List all integers satisfying the inequality -2 \(\leq\) 2 x -6 < 4
A
2, 3, 4, 5
B
2, 3, 4
C
2, 5
D
3, 4, 5
E
4, 5
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
-2 \(\leq\) 2x - 6 < 4 = 2x - 6 < 4
= 2x < 10
= x < 5
2x \(\geq\) -2 + 6 \(\geq\)
= x \(\geq\) 2
∴ 2 \(\leq\) x < 5 [2, 3, 4]
Source: Myschool Past Questions Archive (Record #32203)