Question

Solve the inequation and find the range of values of x, which satisfy the inequation:
, x ϵ R. Graph the solution set on the number line.

Answer 1

Answer:

Given inequation is

−2≤

2

1

−

3

2x

≤1

6

5

⇒−2≤

6

3–4x

≤

6

11

⇒−12≤3–4x≤11

⇒−12–3≤−4x≤11–3

⇒−15≤−4x≤8

⇒

4

−15

≤−x≤

4

8

⇒

4

15

≥x≥−2

As x∈N,

The solution set is {1,2,3}.

Representation of the solution on a number line is given in the adjoining image.