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Solve and Graph the Solution Set Of: 2x – 9 ≤ 7 and 3x + 9 > 25, X ∈ I - ICSE Class 10 - Mathematics

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Question

Solve and graph the solution set of:

2x – 9 ≤ 7 and 3x + 9 > 25, x ∈ I

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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Solution Solve and Graph the Solution Set Of: 2x – 9 ≤ 7 and 3x + 9 > 25, X ∈ I Concept: Linear Inequations in One Unknown.
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