What is the solution set of {x | x 5}?

Question

What is the solution set of {x | x < -3} ∩ {x | x > 5}?

anonymous · Answer

and can u explain it?

anonymous · Answer

@tomiko

anonymous · Answer

first find the solution set of {x | x < -3}. what will this be?

anonymous · Answer

then find for {x | x > 5}. ok? then we can find the intersection of this sets.

anonymous · Answer

UMM, -2,-1,0,1,2,3,4,5,6,7,8...exc..

anonymous · Answer

6!?

anonymous · Answer

wrong in both questions. what are the values such that x < -3?

anonymous · Answer

that's for the fist part

anonymous · Answer

i dont know?

anonymous · Answer

they are -4, -5, -6, -7, ..... to infinity. do you get it? that's for the first part. now how about the second part?

anonymous · Answer

-4,-3,-2....?

anonymous · Answer

no. for x such that x > 5 will be 6, 7, 8, 9, 10 and so on.

anonymous · Answer

do you get it?

anonymous · Answer

no not really..

anonymous · Answer

x | x > 5 means values of x that are GREATER than 5. 6 is greater than 5. so is 7 and 8 and 9 and above. that's all it means. the first one x | x < -3, means values of x that are less than -3. now, -4 is less than -3...so is -4 and -5 and so on. got it now?

anonymous · Answer

oh yeah, so what would be the answer?

anonymous · Answer

what do YOU think then answer will be now? what is the intersection of these 2 sets? can you please try?

anonymous · Answer

the numbers exept -3 and 5

anonymous · Answer

no. the solution set is an EMPTY set....

anonymous · Answer

why?

anonymous · Answer

thank you for putting up with me btw.