Write the following intervals in set-builder form :
$\left( {6,12} \right]$
$\left( {6,12} \right] = \{ x:x \in R,6\, < \,x\, \le 12\} $
Assume that $P(A)=P(B) .$ Show that $A=B$.
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $x \in A$ and $A \in B,$ then $x \in B$
Write the solution set of the equation ${x^2} + x – 2 = 0$ in roster form.
Which of the following is the empty set
Write the following sets in roster form :
$\mathrm{E} =$ The set of all letters in the world $\mathrm{TRIGONOMETRY}$
