Find the union and intersections of sets B and C using interval notation.

Question

I am completely lost. Please help:

B = w <= 3

C = w < 7

Answer 1

IF you mean w<3 and w<7

B union C is w<7. In interval notation that's (-inf, 7)

B intersection C is w<3. In interval notation (-inf, 3)

union is any value of w that satisfies either inequality.

intersection is any value of w that satisfies both inequalities. if w<3 it's also <7