Question

how to graph inequalites

Answer 1

y - 1 > -1(x+2)
y - 1 > -x -2
y > -x -1
To graph this, start at the y intercept of -1. That is, the point (0,-1) Now use the slope of -1 to plot another point by going down 1 and right 1. This will put you at the point (1, -2). Draw the line through these points, but draw it as a dashed line, since equality is not allowed. If the symbol was greater than or equal to, you would draw the line as a solid line. Now, shade above the line since y values that are greater than -x -1 are above the line. You shade the region for which the inequality is true.

Does this help?

Answer 2

or maybe this, y - 1 > -x - 2
y > -x - 2 + 1
y > -x - 1
First, let's graph the line y = -x - 1. Since the sign above says > and not >= or <=, use a dashed line, not a sold line.
To graph the line, pick any two points. For example:
If x = 0, then y = -1, so plot (0, -1)
If y = 0, then -x - 1 = 0, so x = -1, so plot (-1, 0)
Now join those two points with a (dashed) line.
Since the inequation says "y >" and not "y <" or "y <=", then shade everything BELOW that line.