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Solve and graph the solution set of: 2x – 9 ≤ 7 and 3x + 9 > 25, x ∈ I - Mathematics

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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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