how to solve systems of inequalities by graphing

Question

example on what i need help solving

y<6

y>x+3

Answer 1

Ashley,

First plot your lines as if the inequality was an equals sign, then make the following changes:

1 - If the line is greater than or less than (not >= or <= ), the line needs to be changed to dashed/broken line

2 - After your lines are plotted, you should have three regions. Pick a point within each of these regions, and put it into each equation and solve. The region to shade is the region where the selected point satisfies both equations

For example, pick the point (0,0). It satisfies the first equation, because

0 < 6 (zero is less than 6)

but does not satisfy the second, (0 > 0 + 3) because 0 is not greater than 3. This should get you started.