Question

-1/4<=1/2-x/3<2, x belongs to integer

Answer 1

Answer:

Consider the first inequality

2(x−1)<3x−1

2x−2<3x−1

−1<x ...(i)

Consider the second inequality

4x−3≤8+x

3x≤11

x≤

3

11

x≤

3

9+2

x≤3+

3

2

but x is an integer

Hence, we neglect the fractional part of x.

3

2

<1, therefore

x≤3 ...(ii)

From (i) and (ii), we have

−1<x≤3

So, the solution set for the above inequalities is {0,1,2,3}.

Answer 2

Step-by-step explanation