#### 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?

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.