Question

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


all numbers less than -5 and greater than 5
the numbers between -5 and 5
the empty set
all real numbers

Answer 1

What's your best guess?

Answer 2

Phi

Answer 3

the first choice

Answer 4

x < -5 so you know what that and this means x > 5 right?

Do you know what the ∩ means?

Answer 5

Phi

Answer 6

The ∩ symbol is the key here... it means and.

You decided on this right? "all numbers less than -5 and greater than 5"

Tell me one number that is less than -5 AND greater than 5.

Answer 7

yeah I think its the first one but not sure, I am not good with these

Answer 8

Reread my above post. Especially the last line.

Answer 9

@Tiffany6500 i'll give you a hint: Phi

Answer 10

tell me some person whose height is less than 5 feet AND more than 6 feet

Answer 11

thats same as the agent's question... the point is this :- u cannot say something is blue and green at the same time. a thing is blue, or green. it cannot be both blue and green at the same time.

Answer 12

```
Tell me one number that is less than -5 AND greater than 5.
```

a number is less than -5 or greater than 5 or equal to 5

it cannot be all 3 at the same time.

Answer 13

ok

Answer 14

so what can we conclude ? :)

Answer 15

u need to see it for urself, explaining it more wud oly complicate things hmm

Answer 16

empty set?

Answer 17

Try to tell us a number that is less than -5 AND greater than 5.

Answer 18

@Kainui I don't get why you were saying phi. The symbol isn't a phi, and doesn't really look that much like one (maybe if you rotated it)

Answer 19

@agent0smith I never said anything about phi.

Answer 20

thanks for the help