Symmetric Difference of a Set

Q. Find the symmetric difference between the set P and Q.
$P=\{2,3,5,7,11\}$ and $Q=\{1,3,5,11\}$

1. $\{2,7\}$
2. $\{1,2,7\}$
3. $\{1,3,5,11\}$
4. $\{3,5,11\}$

Q.

If U = {a, e, d}, A = {a, e} and B’ = { a, d}, then A’ $\cap$ B’ = ___.

1. { a, d}

2. {a, e}

3. {e}

4. {d}

Q. Let $A$ and $B$ be subsets of a set $U$. Identify the given statement is right or wrong:
$A△B=B△A$

Q.

Given $U$ is the set of natural numbers between 11 and 19.

$A=\{x:x\text{is divisible by 3}\}$

$B=\{12,14,15,16\}$

Find $A\cap B$.

1. $\{14,16\}$

2. $\{2,14\}$

3. $\{12,15\}$

4. $\left\{15\right\}$

Q. Consider A = {2x + 1: 5 $\le$ x $\le$ 10 and x $\in$ I} and B = { 2x - 3 : 5 $\le$ x $\le$ 10 and x $\in$ I}. Find A $\Delta$ B

1. {7, 9, 11, 13, 15, 17, 19, 21}
2. {}
3. {11, 13, 15, 17}
4. {7, 9, 19, 21}