Question

Solve (x + 5 < 4) ∩ (x - 3 > -6).
{x | -3 < x < -1}
{x | x < -3 or x > -1}
{all real numbers}

Answer 1

what is the question?

Answer 2

Sorry it copied wrong

Answer 3

x+5<4
subtract 5 from both sides
x +5 -5 < 4 -5
what is 4-5?

Answer 4

x-3>-6
add 3 to both sides
x-3 +3 > -6 +3
what is -6 +3?

Answer 5

-1

Answer 6

and -3

Answer 7

so x < -1 and x >-3

which is the same as
-3 < x < -1

Answer 8

Thanks!

Answer 9

3x - y ≥ -2
I have to graph this. Is it done the same way?

Answer 10

I think you have to solve for y

so subtract 3x from both sides and divide by -1, what do you get?

Answer 11

y

Answer 12

-y =>-2 - 3x
y <= 2 + 3x

(when you divide by a negative number in inequalities the sign changes.)

Answer 13

which is the same as y <= 3x + 2

Answer 14

So how do i graph that?

Answer 15

http://www.wolframalpha.com/input/?i=y+%3C%3D+3x+%2B2

Answer 16

http://www.purplemath.com/modules/ineqgrph.htm

Answer 17

Thanks!

Answer 18

No Problem