$5.$ Book Section $1\mathrm{.}2$ Problem $1($p$\mathrm{.}37)$The set $\{$x $|$ x is a vowel$\}$ can also be described by $\{$a$,$ e$,$ i$,$ o$,$ u$\}.$ Describe each of the following sets bylisting its elements.a$.\{$x $|$ x and $0<$ x $<8\}.$b$.\{2$k $+1|$ k is an even integer between $1$ and $10\}.$c$.\{$x $|$ x is an odd prime less than $20\}.$d$.\{$x $|$ x is a month ending with the letter y$\}.$e$.\{$x $|$ x is a letter in the words MISSISSIPPI RIVER$\}\mathrm{.}6.$ Book Section $1\mathrm{.}2$ Problem $3($p$.37)$Let A $=\{$a$,\}.$ Answer true or false for each of the following statements.a$.$ a A$.$b$.\{$a$\}$ A$.$c$.$ a A$.$d$.\{$a$\}$ A$.$e$.$ A$.$f$.$ A$.$g$.\{\}$ A$.$h$.\{\}$ A$\mathrm{.}7.$ Book Section $1\mathrm{.}2$ Problem $5($p$\mathrm{.}37)$Find two finite sets A and B such that A B and A B$\mathrm{.}8.$ Book Section $1\mathrm{.}2$ Problem $11($p$\mathrm{.}38)$For each case, find the value of x that makes the equation hold.a$.\{1,2,3,$ x$\}\{2,3,5,6\}=\{1,2,3,4,5,6\}.$b$.\{1,2,3,$ x$\}\{3,5,6\}=\{3,6\}\mathrm{.}9.$ Book Section $1\mathrm{.}2$ Problem $12($p$.38)$Find the set A that satisfies the following two properties $($labeled properties a and b$)$:a$.$ A $\{3,4,5,6\}=\{1,2,3,4,5,6\}$b$.$ A $\{3,4,5,6\}=\{3,4\}.$