Gujarat Board Solutions for Chapter: Sets, Exercise 2: EXERCISE 1.2

Whether following set is finite or infinite:
The set of circles passing through the origin $\left(0,0\right)$

 In the given sets, state whether $A=B$ or not:
$A=\left\{a,b,c,d\right\};B=\left\{d,c,b,a\right\}$

 In the given sets, state whether $A=B$ or not:
$A=\left\{4,8,12,16\right\};B=\left\{8,4,16,18\right\}$

 In the given sets, state whether $A=B$ or not:
 $A=\left\{2,4,6,8,10\right\};B=\left\{x:x \mathrm{i}\mathrm{s} \mathrm{p}\mathrm{o}\mathrm{s}\mathrm{i}\mathrm{t}\mathrm{i}\mathrm{v}\mathrm{e} \mathrm{even} \mathrm{i}\mathrm{n}\mathrm{t}\mathrm{e}\mathrm{g}\mathrm{e}\mathrm{r} \mathrm{a}\mathrm{n}\mathrm{d} x\le 10\right\}$

In the given sets, state whether $A=B$ or not:
$A=\left\{x:x \mathrm{i}\mathrm{s} \mathrm{a} \mathrm{m}\mathrm{u}\mathrm{l}\mathrm{t}\mathrm{i}\mathrm{p}\mathrm{l}\mathrm{e} \mathrm{o}\mathrm{f} 10\right\}; B=\left\{10,15,20,25,30\dots \right\}$

 Are the following pair of set equal? Give reasons.
 $A=\left\{2,3\right\}; B=\left\{x:x \mathrm{i}\mathrm{s} \mathrm{s}\mathrm{o}\mathrm{l}\mathrm{u}\mathrm{t}\mathrm{i}\mathrm{o}\mathrm{n} \mathrm{o}\mathrm{f} x^2+5x+6=0\right\}$

Are the following pair of sets equal? Give reasons.
$A=\{x:x$ is a letter in the word FOLLOW$\};B=\{y:y$ is a letter in the word WOLF$\}$

From the sets given below, select equal sets:
$A=\left\{2,4,8,12\right\},B=\left\{1,2,3,4\right\},C=\left\{4,8,12,14\right\},D=\left\{3,1,4,2\right\}$
$E=\left\{-1,1\right\},F=\left\{0,a\right\},G=\left\{1,-1\right\},H=\left\{0,1\right\}$