2004
Mathematics
67ca00ce0c643c71d77dee1f
What is the integral value of x which satisfy the inequality -1 < 3 -2x ≤ 5?
A.
-1. 0, 1, 2
B.
-2, 1, 0 , -1
C.
0, 1, 2
D.
-1, 0, 1
Correct Answer: -1, 0, 1
Explanation
-1 < 3 -2x and 3 - 2x ≤ 5 2x < 3 + 1 and -2x ≤ 5 - 3 2x < 4 and -2x ≤ 2 x < 2 and x ≥ 2/-2 = x ≥ -1 If -1 ≤ x < 2 it implies that x = -1, 0, 1
-1 < 3 -2x and 3 - 2x ≤ 5 2x < 3 + 1 and -2x ≤ 5 - 3 2x < 4 and -2x ≤ 2 x < 2 and x ≥ 2/-2 = x ≥ -1 If -1 ≤ x < 2 it implies that x = -1, 0, 1THIS WEEK's
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