List all integers satisfying the inequality -2 ≤ ≤ 2 x -6 < 4

Assessment: JAMB UTME - Mathematics - 1985 Subject: General Mathematics

Question 1 Report

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

Answer Details

-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]

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