Question

Let A=[0,3), B= {x E R: -3<2x+1=<5} and C be the set of numbers for which x^2+3x-10<0. For the following intervals:
B u(A n C)=?
(B u A)n C=?

Answer 1

solve -3<2x+1<=5 call it set B
solve x^2+3x+10<0 call it set C

for the first one
A intersect C is all the elements that are in both sets
and B union (A intersect C) is all of B and (A intersect C) in one set

Answer 2

so the answer is....@zzr0ck3r