JAMB - Mathematics (1985 - No. 5)
List all integers satisfying the inequality -2 \(\leq\) 2 x -6 < 4
2, 3, 4, 5
2, 3, 4
2, 5
3, 4, 5
4, 5
Explanation
-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]
= 2x < 10
= x < 5
2x \(\geq\) -2 + 6 \(\geq\)
= x \(\geq\) 2
∴ 2 \(\leq\) x < 5 [2, 3, 4]
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