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Find the Set of Values of X Satisfying `7x + 3 >= 3x - 5` and `X/4 - 5 <= 5/4 - X` Where X ∈ N - ICSE Class 10 - Mathematics

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Question

Find the set of values of x satisfying

`7x + 3 >= 3x - 5` and `x/4 - 5 <= 5/4 - x` where x ∈ N

 

Solution

`7x + 3 >= 3x - 5`

`4x >= -8`

`x >= -2`

`x/4 - 5 <= 5/4 - x`

`x/4 + x <= 5/4 +  5`

`(5x)/4  <=25/4`

`x <= 5`

Since x ∈ N

∴ Solution set = {1, 2, 3, 4, 5}

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Solution Find the Set of Values of X Satisfying `7x + 3 >= 3x - 5` and `X/4 - 5 <= 5/4 - X` Where X ∈ N Concept: Representation of Solution on the Number Line.
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