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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 - 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}

Is there an error in this question or 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.