Mammoth Memory

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.



or `y<\6x+2` 

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.

Draw the line make sure its dotted

Now pick a point NOT on the line

Find a position not on the line

Choose   `x=0`   `y=0`




This reads zero is less than two.

This does satisfy the inequality, SHADE IT.

Shade it if its satisfied

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