0<2 Write the solution set using interval notation

Question

30x-12-5x<15+25x-25

25x-12<-10+25x

+12           +12

25x<2+25x

-25x       -25x

0<2

 

 

Write the solution set using interval notation and graph????

Answer 1

Your math appears to be correct.  Check and make sure that you copied the problem correctly.  If you still don't see any errors, then this kind of result would lead to two possibilities: either there is no solution (represented by an empty set) or there is an infinite number of solutions (represented by (-∞,∞) ).  Because your last line is mathematically correct (0 IS less than 2), I would be inclined to go towards an infinite number of solutions.  Check this by picking some random numbers (ie: x=0, x=1, x=-1...) and make sure they work.

 

As far as graphing goes, if there is no solution, your "graph" would be a simple number line graph with no arrows or circles.  If there is an infinite number of solutions, your graph would be a number line graph centered at 0 showing arrows going on in both directions with no circles (or you could put a closed circle over 0).