Let f(x)=2x−3 and g(x)=3x+2. Find all values of x for which f(x)<−1 or g(x)<−7. (Answer shouldn't be a list of numbers)

Answer 1

2x-3 < -1

add 3 to both sides

2x < 2

divide both sides by 2

x < 1 makes f(x)<-1

any value of x less than 1 will make f(x) <-1

x is in the interval (-infinity, 1)

3x+2<-7

3x < -9

x < -3

any value of x less than -3 will make f(x) <-7

x is in the interval (-infinity, -3)