Question

f x Ꞓ W , then the solution set of x < 2 is : 1 point (a) 0 , 1 (b) 1 (c) − 1 , 0 , 1 (d) 1, 2​

Answer 1

Consider the first inequality
2(x−1)<3x−1
2x−2<3x−1
−1Consider 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
−1So, the solution set for the above inequalities is {0,1,2,3}.