Solve Find ABAA and BA ) A = B = \{p, q\} ( ) A = \{2, - 2, 3\} and B = \{1, - 4\} ) A = \{m, n\} ; B = phi set of New then AB 2. Let and is a prime number less than 10 . Find and B A = \{1, 2, 3\}; B=\ x|x; A=\ (-2,3),(-2,4),(0,3),(0,4),(3,3),(3 3. If BxA 3,4) find A and B. A = \{5, 6\} 4. If B = \{4, 5, 6\}; C = \{5, 6, 7\}; A* A=(B* B) cap(C* C) , Show that . 5. Given A = [1, 2, 3]; B = \{2, 3, 5\}, C = \{3, 4\} and D = \{1, 3, 5\} check if (A cap C)*(B cap D)=(A* B) cap(C* D) is true? 6. Let A=\ x in W|x<2\ , B=\ x in mathbb N |1<x<=4\ and C = \{3, 5\} Verify that ) A*(B cup C)=(A* B) cup(A* C) (ii) A*(B cap C)=(A* B) cap(A* C) ) (A cup B)* C=(A* C) cup(B* C) 7. Let A = The set of all natural numbers less than 8 , B = The set of all prime numbe less than 8, C = The set of even prime number . Verify that ) (A cap B)* C=(A* C) cap(B* C) ii) A(B - C) = (AB) - (AC) 4 Relations

$$\left. \begin{array} { l } { 4 x + 3 = 10 + 1 - x + 1 = 10 } \\ { 4 x + 3 = 13 x + 10 + 2 = 15 x + 10 = 12 } \\ { \{ x + 1 - 13 x + 10 x + 10 = 124 , 15 x + 1 } \\ { x + 1 - 1 \right.$$

Solve for x

$x = \frac{9}{5} = 1\frac{4}{5} = 1.8$

Steps for Solving Linear Equation

Add $10$ and $1$ to get $11$.

$$4x+3=11-x+1$$

Add $11$ and $1$ to get $12$.

$$4x+3=12-x$$

Add $x$ to both sides.

$$4x+3+x=12$$

Combine $4x$ and $x$ to get $5x$.

$$5x+3=12$$

Subtract $3$ from both sides.

$$5x=12-3$$

Subtract $3$ from $12$ to get $9$.

$$5x=9$$

Divide both sides by $5$.

$$x=\frac{9}{5}$$

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Solve for x

Steps for Solving Linear Equation