SOLUTION: What if you have a question like this… 2(-2) < or equal to 3x-1 AND 3x-1 < or equal to -1-3 Im coming up with the answers… -1 < or equal to x AND x < or equal to -1…so, (-

Algebra ->  Graphs -> SOLUTION: What if you have a question like this… 2(-2) < or equal to 3x-1 AND 3x-1 < or equal to -1-3 Im coming up with the answers… -1 < or equal to x AND x < or equal to -1…so, (-      Log On


   

Question 905963: What if you have a question like this…
2(-2) < or equal to 3x-1 AND 3x-1 < or equal to -1-3
Im coming up with the answers…
-1 < or equal to x AND x < or equal to -1…so, (-infinity,-1]. Is that correct? Or would be infinitely many solutions?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
The AND means you are looking for the solution values for x which are common to both inequalities.

2%28-2%29%3C=3x-1
-4%3C=3x-1
-3%3C=3x
highlight%28-1%3C=x%29

3x-1%3C=-1-3
3x-1%3C=-4
3x%3C=-3
highlight%28x%3C=-1%29

ONLY ONE point is common to both inequalities for both inequalities to be true, according to AND, which is an intersection of the two separate solutions.

That point is highlight%28x=-1%29.
If you want this in interval notation, then [-1].