Question

What is the graph of the system? y<-x+-1 y>x+4

Answer 1

Answer:

see attached

Step-by-step explanation:

A graphing calculator can show you the graph right away. Or you can plot it by hand.

Since both inequalities do not include the "or equal to" case, the lines they represent (y=-x-1, y=x+4) will be dotted lines.

Of course, you can read the y-intercept from the equation. (It is the constant, the value of y when x=0.) The slope is the coefficient of x, so is -1 for the line with the negative y-intercept, and +1 for the line with the positive y-intercept.

The solution to each inequality is shaded. For y < ( ), the shading is below the dotted line. For y > ( ), the shading is above the dotted line. Then the solution to both inequalities is the doubly-shaded area.