Question

Which of the following is a solution of the compound inequality?

3x + 8 < 2 or x + 12 > 2 - x
A. x < -2 or x > 5
B. x < -6 and x > 5
C. All real numbers
D. No solution

Answer 1

3x + 8 < 2
3x < 2 - 8
3x < -6
x < -2

x + 12 > 2 - x
x + x > 2 - 12
2x > -10
x > -5

so we have x < -2 and x > -5

Is the problem written correctly ?

Answer 2

Yes it is

Answer 3

So is it A

Answer 4

I am not sure, because it states x < -2 or x > -5.

Answer 5

SInce theres no correct answer would it be no solution

Answer 6

not sure....you will need someone who knows more about this to answer it. I am so sorry.

Answer 7

NO worries

Answer 8

@ganeshie8 .....help please

Answer 9

@phi ...can you take a look at this please

Answer 10

@texaschic101
you arrived at the correct answer
x < -2 or x > -5

if we plot this on a number line, we get


as you can see one or the other of x<-2 OR x>-5 will be true for all x's
(in some cases, both statements are true: example x=-3)

The point is we can simplify these two statements to *all real numbers*