solve the inequalities by graphing.

Question

solve the inequalities by graphing.

 

y>x

y<-x

 

i do not know how to solve problems like this, neither do i know how to graph it, so i need help, please.

Answer 1

Inequalities work the same as a regular line, so the slope intercept form of y=mx+b.

 

Given y>x, it can be written in the form y>1x+0.  This means the slope is 1, which is a positive diagonal line.  You would draw the line as a dashed line because the inequality does not include equals (such as greater than or equal to).  Finally, shade the area above the line, because the inequality sign is greater than.

 

Given y<-x, it can be written in the form y<-1x+0, which is a negative diagonal line.  You would draw the line as a dashed line again, but now shade the area under it.

 

If you need to visualize it, you can go to desmos.com and launch the calculator.  Then input the functions on the left, and it will graph it for you.

 

I hope this helps,

 

Norman.