Ex 1.5, 5 - Chapter 1 Class 11 Sets

Transcript

Ex 1.5, 5 Draw appropriate Venn diagram for each of the following: (i) (A ∪ B)’ Step 1 Draw U, A & B Step 2 Mark A ∪ B Step 3 Mark (A ∪ B)’ i.e. all region except (A ∪ B) The orange region is (A ∪ B)’ Ex 1.5, 5 (Method 1) Draw appropriate Venn diagram for each of the following: (ii) A’ ∩ B’ We know that A’ ∩ B’ = (A ∪ B)’ The required region is the orange region Ex 1.5, 5 (Method 2) Draw appropriate Venn diagram for each of the following: (ii) A’ ∩ B’ Step 1 Draw U, A & U, B separately Step 2 Mark A’ & B’ separately A’ is the bluish portion. & B’ is the orangish portion. Step 3 Merge the two diagrams The shaded portion is A’ ∩ B’ Ex 1.5, 5 (Method 3) Draw appropriate Venn diagram for each of the following: (ii) A’ ∩ B’ Step 1: Draw U, A & B Step 2: Mark A’ Ex 1.5, 5 Draw appropriate Venn diagram for each of the following: (iii) (A ∩ B)’ Step 1: Draw U, A & B Step 1: Draw U, A & B Ex 1.5, 5 Draw appropriate Venn diagram for each of the following: (iv) A’ ∪ B’ We know that A’ ∪ B’ = (A ∩ B)’ The required region is the orange region