Given that E= { Natural number up to 30 } `P={x/x = 4y +1 ,x in E } and Q={x/x = 6y +x in E}` Find `n(P cap Q)`

E= { Natural numbers up to 30 } X={x/x = 4y +2 ,y in E} Find n(X cap Y)

If A= {(x,y) : y = e^(x), x in R } and B = { (x,y) : y = e^(-x), x in R } then n (A cap B ) is

In some question of sets, we have to make the use of graphs For example A={(x,y):y=e^(x), x in R} B={{x,y}: y=-x. x in R} Find n(A cap B) It is clear that y=e^(x) and y=-x intersect at one pont. Hence n(A cap B)=1 A:{(x,y):y=sqrt(4-x^(2)), x in [-2,2]} B={(x,y):y=|x|, x in R} Then n(A cap B)

In some question of sets, we have to make the use of graphs For example A={(x,y):y=e^(x), x in R} B={{x,y}: y=-x. x in R} Find n(A cap B) It is clear that y=e^(x) and y=-x intersect at one pont. Hence n(A cap B)=1 A:{(x,y):y=sqrt(4-x^(2)), x in [-2,2]} B={(x,y):y=|x|, x in R} Then n(A cap B)

In some question of sets, we have to make the use of graphs For example A={(x,y):y=e^(x), x in R} B={{x,y}: y=-x. x in R} Find n(A cap B) It is clear that y=e^(x) and y=-x intersect at one pont. Hence n(A cap B)=1 A={(x,y):y = sin pi x,x in R} B={(x,y):y=|In|x"||",x in R-{0}} Then, n(A cap B)

In some question of sets, we have to make the use of graphs For example A={(x,y):y=e^(x), x in R} B={{x,y}: y=-x. x in R} Find n(A cap B) It is clear that y=e^(x) and y=-x intersect at one pont. Hence n(A cap B)=1 A={(x,y):y = sin pi x,x in R} B={(x,y):y=|In|x"||",x in R-{0}} Then, n(A cap B)

In some question of sets, we have to make the use of graphs For example A={(x,y):y=e^(x), x in R} B={{x,y}: y=-x. x in R} Find n(A cap B) It is clear that y=e^(x) and y=-x intersect at one pont. Hence n(A cap B)=1 A={(x,y):x^(2)+y^(2) le 2, x ,y in R} B={{x,y): y gex^(2),x,y in R} Then domain of A cap B is