Question

Solve the following inequation and represent the solution on a real line :

3 1/3
> x +
1/3
≥ −2 1/3, x ε R

Answer 1

Answer:

Given inequation is,

−2

3

2

≤x+

3

1

<3+

3

1

,x∈R

⇒

3

−8

≤

3

(3x+1)

<

3

10

⇒−8≤3x+1<10[Multiplying by 3]

⇒−8−1≤3x<10−1

⇒−9≤3x<9

⇒−3≤x<3[Dividing by 5]

Thus, the solution set is {x:x∈R,−3≤x<3}

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