Laws of Operations on Sets

$A=\left\{a,b\right\}$, $B=\left\{e,f\right\}$. Verify closure property of union of two sets.

$A=\left\{a,b,c\right\}$, $B=\left\{d,e,f\right\}$. Verify closure property of union of two sets.

$A=\left\{1,2,3\right\}$, $B=\left\{2,3,4,5\right\}$. Verify closure property of union of two sets.

$A=\left\{1,2,3,4\right\}$, $B=\left\{2,3,4,5,6\right\}$. Verify closure property of union of two sets.

$A=\left\{1,2\right\}$, $B=\left\{2,3\right\}$. Verify closure property of union of two sets.

$A=\left\{1,2,3\right\}$ and $U=\left\{1,2,3,4\right\}$. Find $A\cap U$.

$A=\left\{1,4\right\}$ and $U=\left\{1,2,3,4\right\}$. Find $A\cap U$.

$A=\left\{2,4\right\}$ and $U=\left\{1,2,3,4\right\}$. Find $A\cap U$.

$A=\left\{1,3\right\}$ and $U=\left\{1,2,3,4\right\}$. Find $A\cap U$.

$A=\left\{1,2\right\}$ and $U=\left\{1,2,3,4\right\}$. Find $A\cap U$.

If $A=\left\{\mathrm{prime} \mathrm{numbers} \mathrm{from} 10 \mathrm{to} 25\right\}$ and $B=\left\{\mathrm{odd} \mathrm{numbers} \mathrm{from} 10 \mathrm{to} 25\right\}$. Prove that, $A\cap B$ belongs to set of numbers under $25$.

If $A=\left\{\mathrm{prime} \mathrm{numbers} \mathrm{under} 25\right\}$ and $\mathrm{B}=\left\{\mathrm{odd} \mathrm{numbers} \mathrm{under} 25\right\}$. Prove that, $A\cap B$ belongs to set of numbers under $25$.

If $A=\left\{\mathrm{prime} \mathrm{numbers} \mathrm{under} 15\right\}$ and $\mathrm{B}=\left\{\mathrm{odd} \mathrm{numbers} \mathrm{under} 15\right\}$. Prove that, $A\cap B$ belongs to set of numbers under $15$.

If $A=\left\{\mathrm{prime} \mathrm{numbers} \mathrm{under} 20\right\}$ and $\mathrm{B}=\left\{\mathrm{odd} \mathrm{numbers} \mathrm{under} 20\right\}$. Prove that, $A\cap B$ belongs to set of numbers under $20$.

If $A=\left\{\mathrm{prime} \mathrm{numbers} \mathrm{under} 10\right\}$ and $\mathrm{B}=\left\{\mathrm{odd} \mathrm{numbers} \mathrm{under} 10\right\}$. Prove that, $A\cap B$ belongs to set of numbers under $10$.

If $A=\left\{2,7,9\right\}$ and $U=\left\{0,1,2,7,8,9\right\}$. Find $A\cup U$.

If $A=\left\{7,8,9\right\}$ and $U=\left\{0,1,2,7,8,9\right\}$. Find $A\cup U$.

If $A=\left\{0,1\right\}$ and $U=\left\{0,1,2,7,8,9\right\}$. Find $A\cup U$.

If $A=\left\{0,1,2,3\right\}$ and $U=\left\{0,1,2,3,7,8,9\right\}$. Find $A\cup U$.

If $A=\left\{0,1,2\right\}$ and $U=\left\{0,1,2,7,8,9\right\}$. Find $A\cup U$.