Inequalities and graphs example 3
Solve the inequality
Subtract `6x` from both sides to get `y` on its own.
Divide both sides by `-1` to get a positive. Don’t forget to FLIP the sign.
First let's calculate points on the graph
`x=-2` then `y<\6(-2)+2=-12+2=-10`
`x=-1` then `y<\6(-1)+2=-6+2=-4`
`x=0` then `y<\6(0)+2=0+2=2`
`x=1` then `y<\6times1+2=6+2=8`
`x=2` then `y<\6times2+2=12+2=14`
Now draw a graph and mark on the above points. Don’t forget to use a DOTTED line.
Now pick a point NOT on the line
Choose `x=0` `y=0`
This reads zero is less than two.
This does satisfy the inequality, SHADE IT.