Algebra 1 question!!!!

Question

anonymous · Answer

attachment

anonymous · Answer

The question is sets or set theory; you might use algebra to get the answer.

anonymous · Answer

I don't know how to solve it. I'm taking a timed final and this is my last question!

anonymous · Answer

@jim_thompson5910 please help me !!

jim_thompson5910 · Answer

How many people are in set L, but NOT in set O?

anonymous · Answer

295 & 67

jim_thompson5910 · Answer

add them up to get 362

so there are 362 people in $$\Large \sim O \cap L$$

jim_thompson5910 · Answer

now you add on the number of people in set V

387+67+49+72

BUT...

you subtract off the 67 because you're double counting those people, so you're really only adding

387+49+72

to get

508


Add this to the previous sum to get 

362+508 = 870, which is choice C

jim_thompson5910 · Answer

here's what $$\Large V \cup \left(\sim O \cap L\right)$$ looks like if you approach this visually

jim_thompson5910 · Answer

each number in that red region represents the set 

$$\Large V \cup \left(\sim O \cap L\right)$$

if you add up each number in that set, you'll get 870

so this is just another way to do it