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Question
Solve and graph the solution set of:
2x – 9 ≤ 7 and 3x + 9 > 25, x ∈ I
Sum
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Solution
2x – 9 ≤ 7 and 3x + 9 > 25
2x ≤ 16 and 3x > 16
x ≤ 8 and x > `5 1/3`
∴ Solution set = `{5 1/3 < x <= 8, x in I}` = {6, 7, 8}
The required graph on number line is

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