SOLUTION: 4x+1<2x+5<=3x+6 Solve in terms of intervals and illustrate the solution set. Can someone explain this, and number each and every step

Algebra ->  Inequalities -> SOLUTION: 4x+1<2x+5<=3x+6 Solve in terms of intervals and illustrate the solution set. Can someone explain this, and number each and every step       Log On


   

Question 969632: 4x+1<2x+5<=3x+6
Solve in terms of intervals and illustrate the solution set.
Can someone explain this, and number each and every step
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The combined statement is two statements, to handle separately.

4x%2B1%3C2x%2B5
2x%2B1%3C5
2x%3C4
x%3C2

AND

2x%2B5%3C=3x%2B6
5%3C=x%2B6
-1%3C=x

The combined statement has intervals with critical x values at -1, and at 2. This needs BOTH solutions to be true, because both separate statements were combined into ONE SINGLE statement as given.

highlight%28highlight%28-1%3C=x%3C2%29%29