Complement of a Set

Fill in the blanks to make the following a true statement:
 $U^{\text{'}}\cap A=$_____

Write, $x$ for $U$, $y$ for $A\text{'}$, $z$ for $\varphi$

If $U$ is a universal set and $A$ is the subset of $U$, then _____$\cap A^{\text{'}}=$ Null Set

Fill in the blanks to make the following a true statement:
 ${\varphi }^{\text{'}}\cap A=$_____

If $U$ be the universal set and $A$ be the subset of $U$, then $A\cup A^{\text{'}}=$_____

Let $U$ be the set of all triangles in a plane. if $A$ is the set of all triangles with at least one angle different from ${60}^{\mathrm{o}},$ What is $A^{\text{'}}?$

If $U=\left\{1,2,3,4,5,6,7,8,9\right\},$$A=\left\{2,4,6,8\right\}$ and $B=\left\{2,3,5,7\right\}.$Verify that ${\left(A\cap B\right)}^{\text{'}}=A^{\text{'}}\cup B^{\text{'}}$.

If $U=\left\{1,2,3,4,5,6,7,8,9\right\},$$A=\left\{2,4,6,8\right\}$ and $B=\left\{2,3,5,7\right\}.$Verify that ${\left(A\cup B\right)}^{\text{'}}=A^{\text{'}}\cap B^{\text{'}}$.

Taking the set of natural numbers as the universal set, write down the complement of the set $\left\{x:x\in N \mathrm{a}\mathrm{n}\mathrm{d} 2x+1>10\right\}$.

Taking the set of natural numbers as the universal set, write down the complement of the set $\left\{x:x\ge 7\right\}$.

Taking the set of natural numbers as the universal set, write down the complement of the set $\left\{x:2x+5=9\right\}$.

Taking the set of natural numbers as the universal set, write down the complement of the set $\left\{x:x+5=8\right\}$.

Taking the set of natural numbers as the universal set, write down the complement of the set $\left\{x:x \mathrm{i}\mathrm{s} \mathrm{p}\mathrm{e}\mathrm{r}\mathrm{f}\mathrm{e}\mathrm{c}\mathrm{t} \mathrm{c}\mathrm{u}\mathrm{b}\mathrm{e}\right\}$.

Taking the set of natural numbers as the universal set, write down the complement of the set $\left\{x:x \mathrm{i}\mathrm{s} \mathrm{a} \mathrm{p}\mathrm{e}\mathrm{r}\mathrm{f}\mathrm{e}\mathrm{c}\mathrm{t} \mathrm{s}\mathrm{q}\mathrm{u}\mathrm{a}\mathrm{r}\mathrm{e}\right\}$.

Taking the set of natural numbers as the universal set, write down the complement of the set $\left\{x:x \mathrm{is} \mathrm{a} \mathrm{natural} \mathrm{number} \mathrm{divisible} \mathrm{by} 3 \mathrm{and} 5\right\}$.

Taking the set of natural numbers as the universal set, write down the complement of the set $\left\{x:x \mathrm{i}\mathrm{s} \mathrm{a} \mathrm{p}\mathrm{r}\mathrm{i}\mathrm{m}\mathrm{e} \mathrm{n}\mathrm{u}\mathrm{m}\mathrm{b}\mathrm{e}\mathrm{r}\right\}$.

Taking the set of natural numbers as the universal set, write down the complement of the set $\left\{x:x \mathrm{i}\mathrm{s} \mathrm{a} \mathrm{p}\mathrm{o}\mathrm{s}\mathrm{i}\mathrm{t}\mathrm{i}\mathrm{v}\mathrm{e} \mathrm{m}\mathrm{u}\mathrm{l}\mathrm{t}\mathrm{i}\mathrm{p}\mathrm{l}\mathrm{e} \mathrm{o}\mathrm{f} 3\right\}$.

Taking the set of natural numbers as the universal set, write down the complement of the given set $\left\{x:x \mathrm{i}\mathrm{s} \mathrm{an} \mathrm{o}\mathrm{d}\mathrm{d} \mathrm{n}\mathrm{a}\mathrm{t}\mathrm{u}\mathrm{r}\mathrm{a}\mathrm{l} \mathrm{n}\mathrm{u}\mathrm{m}\mathrm{b}\mathrm{e}\mathrm{r}\right\}$.

Taking the set of natural numbers as the universal set, write down the complements of the set $\left\{x:x \mathrm{i}\mathrm{s} \mathrm{a}\mathrm{n} \mathrm{e}\mathrm{v}\mathrm{e}\mathrm{n} \mathrm{n}\mathrm{a}\mathrm{t}\mathrm{u}\mathrm{r}\mathrm{a}\mathrm{l} \mathrm{n}\mathrm{u}\mathrm{m}\mathrm{b}\mathrm{e}\mathrm{r}\right\}$.

If $U=\left\{a,b,c,d,e,f,g,h\right\},$ find the complement of the set $D=\left\{f,g,h,a\right\}$.

If $U=\left\{a,b,c,d,e,f,g,h\right\},$ find the complement of the set $C=\left\{a,c,e,g\right\}$.