Question

WILL FAN AND MEDAL!!!
Solve (x + 2 < 5) ∩ (x - 7 > -6).

A. {x | 1 < x < 3}
B. {x | x < 3 or x > 1}
C. {all real numbers}

Answer 1

first solve
x + 2 < 5 and x - 7 > -6 separetly

Answer 2

can you do that?

Answer 3

x<3
x>1

Answer 4

right
now the solution set will be the intersection of the 2 inequalities .
I guess you know that the sign ∩ means intersection

Answer 5

I did not know that

Answer 6

Is the answer B.{x | x < 3 or x > 1}

Answer 7

- so x must satisfy both inequalities

Answer 8

WAIT!!! IT'S A!?!?!?

Answer 9

No its not that one - for example if x was 4 it would satisfy this

Answer 10

x must be between -3 and 1

Answer 11

yes A is correct

Answer 12

Thanks!!!

Answer 13

yw