SOLUTION: solve compound inequality 4>-5x+3 or 10<=-4x+5 the answer option are a.(-1/5,infinity) b. (-infinity,infinity) c. (-infinity,-5/4 cup (-1//5,infinity) d. (-infinity,-5/4) help!!!

4>-5x+3 or 10<=-4x+5

Solve the first one:





<-------------------------------o==========================o===============>
-2               -1           -1/5  0                 1                  2


Solve the second one:





<==========================================================@--------------->
-2               -1           -1/5  0                 1   5/4             2


We put those graphs one under the other, with numbers lined up


<-------------------------------o============================================>
-2               -1           -1/5  0                 1                   2

<==========================================================@----------------->
-2               -1                 0                 1   5/4            2

Every real number is on the upper graph or the lower graph, and
since the word between the inequalities is OR, the solution is
"all real numbers", 

<===========================================================================>
-2               -1                 0                 1                   2

In interval notation, that is (, )


Choice b.

Edwin