Solve and graph the solution set of:
2x – 9 ≤ 7 and 3x + 9 > 25, x ∈ I
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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
Concept: Linear Inequations in One Variable
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