how to graph y<|2x-4| x+5y>-1

Question

graph an inequality by these.

Answer 1

Graphing y < |2x - 4|

 

First you need to get the 

boundary:

 

factor out 2 from the absolute value

 

y < 2|x - 2|

 

Looking at the graph of: y = |x|;

two rays from the origin going up 

at 45° angles to the right and left

 

Your graph is going to be a transformation of this one:

 

The 2 inside the absolute value will move the other

graph to the right 2 units

 

The 2 outside the absolute value is the stretch factor:

 it will make the rays tighter to the y-axis

 

Since your inequality is < (with no equal sign) you will

make your rays DASHED lines

 

Since y < , you will shade underneath your DASHED rays