Question

Solve (x - 2 < 5) U (x + 7 > 6).


{x | -1 < x < 7}
{all real numbers}
Ø

i got A

Answer 1

Looks good. :)

Answer 2

oh wait stop.

Answer 3

NOPE. sorry.

Answer 4

You want the UNION, so you want EVERYTHING that is in EITHER SET.

think about what's in each set, and then what you get if you take all that is EITHER SET.

Answer 5

Look !
What the numbers can you get from (x - 2 < 5) ?

Answer 6

yooohooo... @dirtydan667

Answer 7

x>=4

Answer 8

From x - 2 < 5 ?

add 2 to both sides.

Answer 9

and then for x + 7 > 6 subtract 7 from both sides. what's the solution there?

Answer 10

Since this is a union, you want:

all x's that are in the FIRST set OR the SECOND set (or both)

Answer 11

No let see :
6-2<5
5-2<5
4-2<5
...
You can give 6>=
Ok ?
Do you understand ?

Answer 12

sorry guys i went to the bathroom lets continue so subtract seven i get x>-1

Answer 13

i think its 0/ guys @E.ali and @DebbieG

Answer 14

what did you get for the first one?

From x - 2 < 5 ? add 2 to both sides.

x>-1 is correct but I haven't seen you answer the first one correctly.

Answer 15

oh nvm all real numbers

Answer 16

X-4<7

Answer 17

@DebbieG

Answer 18

Yes, all reals. :) In general, if you take a union of 2 sets, one going to -inf and the other to +inf and they overlap in the middle, then you will get all real numbers. :)

Answer 19

thanks for explaing it more out