**Set theory practice solution1 :**

Here we are going to see solution of practice questions from the worksheet set theory practice questions1.

**Question 1 :**

If A ⊂ B,then show that A U B = B (use venn diagram)

**Solution :**

Since A is the subset of B we have to draw a small circle A inside the large circle B.

A U B = B

**Question 2 :**

If A ⊂ B, then find A ∩ B and A \ B (use venn diagram)

**Solution :**

Since A is the subset of B we have to draw a small circle A inside the large circle B.

A
∩ B means we have to shade common part of A and B. From this we will get

A ∩ B = A

**Question 3 :**

Let P = {a, b, c}, Q = {g, h, x, y} and R = {a, e, f, s}. Find the following

(i) P \ R (ii) Q ∩ R (iii) R \ (P ∩ Q)

**Solution :**

(i) To find P \ R we have to choose the common elements from both P and R and we have to write remaining elements in P.

P \ R = {a, b, c} \ {a, e, f, s}

= {b, c}

(ii) To find Q ∩ R we have to write the common elements in Q and R.

Q ∩ R = {g,h,x,y} ∩ {a,e,f,s}

there is no common elements in both Q and R

Q ∩ R = Ø

(iii) R \ (P ∩ Q)

P ∩ Q = {a,b,c} ∩ {g,h,x,y}

There is no common elements in both P and Q

P ∩ Q = Ø

R \ (P ∩ Q) = {a,b,c} \ Ø

= {a,b,c}

**Question 4 :**

If A = {4, 6, 7, 8, 9} , B = {2, 4, 6} and C = {1, 2, 3, 4, 5, 6}, then find

(i) A U (B ∩ C) (ii) A ∩ (B U C) (iii) A \ (C \ B)

**Solution :**

(i) A U (B ∩ C)

(B ∩ C) = {2, 4, 6} ∩ {1, 2, 3, 4, 5, 6}

= {2, 4, 6}

A U (B ∩ C) = {4, 6, 7, 8, 9} U {2, 4, 6}

= {2, 4, 6, 7, 8, 9}

(ii) A ∩ (B U C)

(B U C) = {2 ,4, 6} U {1, 2, 3, 4, 5, 6}

= {1, 2, 3, 4, 5, 6}

A ∩ (B U C) = {4, 6, 7, 8, 9} ∩ {1, 2, 3, 4, 5, 6}

= {4, 6}

(iii) A \ (C \ B)

C \ B = {1, 2, 3, 4, 5, 6} \ {2, 4, 6}

= {1, 3, 5}

A \ (C \ B) = {4, 6, 7, 8, 9} \ {1, 3, 5}

= {4, 6, 7, 8, 9}

set theory practice solution1 set theory practice solution1

- Definition
- Representation of Set
- Types of set
- Disjoint sets
- Power Set
- Operations on Sets
- Laws on set operations
- More Laws
- Venn diagrams
- Set word problems
- Relations and functions

After having gone through the stuff, we hope that the students would have understood "Set theory practice solution1"

Apart from the stuff given above, if you want to know more about "Set theory practice solution1", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**