If x belongs to whole numbers, then solution set of x

1.	If x belongs to whole numbers, then solution set of x
Answer» ANSWER: Consider the FIRST inequality 2(x−1)<3x−1 2x−2<3x−1 −1 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∈(−1,3] (−1 is not INCLUDED) So, the SOLUTION set for the above inequalities is {0,1,2,3} Step-by-step explanation:

Answer»

Consider the FIRST inequality

2(x−1)<3x−1

2x−2<3x−1

−1

Consider the second inequality

4x−3≤8+x

3x≤11

x≤

9+2

x≤3+

but x is an integer

Hence, we neglect the FRACTIONAL part of x.

<1, therefore

x≤3 ...(ii)

From (i) and (ii), we have

−1

x∈(−1,3] (−1 is not INCLUDED)

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

Step-by-step explanation:

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