Question

Find n[p(A)] and n[p(B)] where A={x;x is a vowel of english alphabet} and B={x; x^2+3<2,x€N}

Answer 1

`A=\{a,e,i,o,u\}\\n(A)=5\\n(\mathcal{P}(A))=2^5=32\\\\x^2+3<2\\x^2<-1 \\x\in \emptyset\\|B|=0\\n(\mathcal{P}(B))=2^0=1`