Given, A={x:−1<x≤−5,x∈R} and B={x:−4<x≤3,x∈R}
Represent on different number lines:
(i) A∩B
(ii) A′∩B
(iii) A−B
A={x:−1<x≤5,x∈R}
B={x:−4<x≤3,x∈R}
(i) A∩B=the numbers which are both in A and B
⟹A∩B={x:−1<x≤3,x∈R}
(ii) A′∩B=the numbers which are not in A but are in B
⟹A′∩B={x:−4<x≤−1,x∈R}
(iii) A−B= the numbers which is in A but not in B
⟹A−B{x:3<x≤5,x∈R}