Question

Solve the compound inequality. Write the solution in interval notation.
3x+7 _< -8 and 3x _< 0
The solution set of the compound inequality is ___
type answer in interval inequality

Answer 1

3x+7 <= -8 3x =< 0 --> x <= 0
3x <= -8 -7
3x <= -15/3
->x <= -5
=> x < -5
Thus x belongs to ( - inf, -5 )

Answer 2

Let me know if you need more explanation!

Answer 3

I put in (-inf, -5) into the hw database and it told me wrong

Answer 4

Did you double check your post? and the way I solved it?

Answer 5

Yeah, it says the interval notation a parenthesis indicates an open interval which does not include the value, while bracket indicates a closed interval which includes the value.

Answer 6

Oh, try this
( -inf, 0] U [ 0, -5 )

Answer 7

It ended up being, (-inf, -5]