Question

3≥x-4/2+ x/3≥2... find the value of x ​

Answer 1

Answer:

Answer

Given inequation,

−2≤

2

1

−

3

2x

≤1

6

5

,x∈N

⇒−2−

2

1

≤

2

1

−

3

2x

−

2

1

≤

6

11

−

2

1

⇒−

2

5

≤−

3

2x

≤

6

8

⇒−

2

5

≤−

3

2x

and −

3

2x

≤

6

8

⇒−15≤−4x and −2x≤4

⇒15≥4x and 2x≥−4

⇒

4

15

≥x and x≥−2

⇒3.75≥x and x≥−2

Hence, the solution set is {x∈N:−2≤x≤3.75}

And as x∈N, the values of x are 1,2,3

The required graph of the solution on the number line is shown in figure.