how to solve -5x + 8 less than or greater to x - 4

Question

Im kind of confused on what to do at this point.

Answer 1

-5x+8 vs x-4 

first, lets separate the 2 functions.

 

 

f(x) can be replaced by y 

 

f(x)= -5x+8

x=1 y=3

x=2 y=-2

x=3 y=-7

 

 

f(x)= x-4

x= 1 y=-3 

x=2 y=-2

x=3 y=-1

 

the equations intercept at 2,-2 

 

f(x)= x-4 is the greater equation if the linear equation is above the other equations plotted lines. 

 

Answer 2

Katie,

 

Are you confident that you read/wrote the question properly?  The phrase "...less than or greater to..." reminds me of something I might find in a line of computer code as some sort of Boolean operator, for example Pascal's 'not equal to' operator '<>'.