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Draw the lines
y = -x
y = 2x-4
and then shade the half that is above ( > ) or below ( < ) the drawn line.
One way to test if you shaded the correct part is to plug in an easy value (like 0,0 or 1,1) and see if it is true and then shade that part in.
So for y > 2x-4 plug in 0,0 and you get
0 > 0 - 4
0 > - 4
which is true, so the part of the equation that has 0,0 should be shaded in.
Draw the graph of y = -x and that of y= 2x-4 using sample values.
You can shade the unwanted areas leaving the required areas clear.
For y ⤠-x shade out y⥠-x
For y ⥠2x-4 shade out y ⤠2x-4
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Verified answer
Draw the lines
y = -x
y = 2x-4
and then shade the half that is above ( > ) or below ( < ) the drawn line.
One way to test if you shaded the correct part is to plug in an easy value (like 0,0 or 1,1) and see if it is true and then shade that part in.
So for y > 2x-4 plug in 0,0 and you get
0 > 0 - 4
0 > - 4
which is true, so the part of the equation that has 0,0 should be shaded in.
Draw the graph of y = -x and that of y= 2x-4 using sample values.
You can shade the unwanted areas leaving the required areas clear.
For y ⤠-x shade out y⥠-x
For y ⥠2x-4 shade out y ⤠2x-4