Solve the compound inequality. Write the solution in interval notation.
3x+7 _

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

anonymous · Answer

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

anonymous · Answer

Let me know if you need more explanation!

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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.

anonymous · Answer

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

anonymous · Answer

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