Question

4(r-6)+1>5(r+3)-27?
the solution set is {r|r[ ] [ ] ?

Answer 1

4(r-6) + 1> 5(r+3) -27
first put it into two equations, the connecting word is or
first equation:
4(r-6) + 1 > 5(r+3) -27
4r - 23 > 5r - 12
+4r +4r
-23 > 9r - 12
+12 +12
-11 >9r
/9 /9
-11/9 >r
r <-11/9
next equation is:
4(r-6) + 1< -5(r+3)-27
4r - 23 <-5r -42
+5r +5r
9r - 23 <-42
+23 +23
9r < -19
/9 /9
r<-19/9
solution set: { r I r <-11/9 or r< -19/9} :)