Question

Solve 4x < 2x - 10 and -3x > -12. Which is the best description of the solution set?
x < -5 and x < 4
x < -5 or x > 4
x < -5
x < 4

Answer 1

first one

Answer 2

\[4x<2x-10\]
\[2x<-10\]
\[x<-5\]
For the second one:
\[-3x>-12\]
\[x<4\]
Since this is an "and" statement the overlap only occurs prior to x<-5
Therefore \[x<-5\]