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} and B = {x : -4 ≤ x < 3, x ∈ R}

(i) A ∩ B = Numbers common to both A and B.

= {x : -1 < x < 3, x ∈ R}

Solution on the number line is :

(ii) A' ∩ B = Numbers which do not belong to A but belong to B

= {x : -4 ≤ x ≤ -1, x ∈ R}

Solution on the number line is :

(iii) A - B = Numbers which belong to A but do not belong to B

= {x : 3 ≤ x ≤ 5}