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Find the Values of X Which Satisfy the Inequation -2 <= 1/2 - (2x)/3 < 1 5/6; X ∈ N Graph the Solution on the Number Line - ICSE Class 10 - Mathematics

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Question

Find the values of x which satisfy the inequation

`-2 <= 1/2 - (2x)/3 < 1 5/6; x ∈ N`

Graph the solution on the number line

Solution

`-2 <= 1/2 - (2x)/3 < 1 5/6`

`-2 <= 1/2 - (2x)/3 `  and `1/2 - (2x)/3 < 1 5/6`

`(-5)/2 <= - (2x)/3  and -(2x)/3 < 8/6`

`15/4 >= x` and x > -2

`3.75 >= x` and x > -2

since x ∈ N

∴ Solution set = {1, 2, 3}

The required graph of the solution set is:

  Is there an error in this question or solution?

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Solution Find the Values of X Which Satisfy the Inequation -2 <= 1/2 - (2x)/3 < 1 5/6; X ∈ N Graph the Solution on the Number Line Concept: Linear Inequations in One Unknown.
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