Q. 8

# Let A = {1

To do this consider,

B C = {1, 5, 10, 15, 20, 30} {7, 8, 15, 20, 35, 45, 48}

= {15, 20}

A \ (B C) = A \ {15, 20}

= {10, 25, 30, 35, 40, 45, 50} … (1)

Now, A \ B = {10, 15, 20, 25, 30, 35, 40, 45, 50} \ {1, 5, 10, 15, 20, 30}

= {25, 35, 40, 45, 50}

And A \ C = {10, 15, 20, 25, 30, 35, 40, 45, 50} \ {7, 8, 15, 20, 35, 45, 48}

= {10, 25, 30, 40, 50}

Then, (A \ B) (A \ C) = {25, 35, 40, 45, 50} {10, 25, 30, 40, 50}

= {10, 25, 30, 35, 40, 45, 50} … (2)

From (1) and (2), it follows that A \ (B C) = (A \ B) (A \ C).

Hence, verified.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigo Marathon Part 245 mins
Arithmetic Progression and 'nth' Term of AP55 mins
Application of Trigo Important Questions44 mins
Chemical Properties of Metal and Non Metal61 mins
Trigo Marathon Part 146 mins
Heights and Distances - I54 mins
Heights and Distances - II45 mins
Extraction of Metal56 mins
Purification of Metals60 mins
Properties of Metal and Non Metal59 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Let A = {1Tamil Nadu Board - Math

If A and B are twTamil Nadu Board - Math

Draw Venn diagramTamil Nadu Board - Math

Write a descriptiTamil Nadu Board - Math

Given that U = {aTamil Nadu Board - Math

Let U = {4, 8, 12Tamil Nadu Board - Math

Use Venn diagram Tamil Nadu Board - Math

Using Venn diagraTamil Nadu Board - Math

Using Venn diagraTamil Nadu Board - Math

Using Venn diagraTamil Nadu Board - Math