If `U={x:x inZZ,-3lexle9},A={x:x=2P+1,P inZZ,-2lePle3},B={x:x=q+1,qinZZ,0le q le3}`, verify De Morgan's laws for complementation.

If U={1,2,3,4,5,6,7,8,9}, A={4,5,7,9}, B={1,3,5,7,8}, Verify De Morgan's Law for complementation.

If A={x:x inZZ,-2ltxle4},B={x:x inW,xle5} , C = {-4, -1, 0, 2, 3, 4}, then verify Acup(BcapC)=(AcupB)cap(AcupC) .

The set P={x|x inZZ,-1ltxlt1} is a

Solve 1 le |x-2| le 3

For A={x : x in Z, -2 lt x le 4}. B={x : x in W, x le 5}, C={-4,-1,0,2,3,4} " verify "A cup (B nn C) =(A cup B) nn (A cup C) .

Find the cardinal number of the following sets (i) M={p,q,r,s,t,u} (ii) P={x: x=3n+2, n in W and x lt 15} (iii) Q={y: y=(4)/(3n), n in N and 2 lt n le 5} (iv) R={"x : x is an integer, "x in Z and -5 le x lt 5} (v) S= The set of all leap years between 1882 and 1906.

Let A={x:x^(2)-4x+3 lt 0,x in R } B={x: 2^(1-x)+p le 0 , x^(2)-2(p+7)x+5 le0} If B sube A , then p in