plz help ty..................................

1st thing you need to do is to graph the line y = x - 3 as a dashed line, since the it is just a less than symbol. Once the line is graphed, we need to decide which side to shade. I tend to use (0, 0) if at all possible. We check 0 < 0 - 3

Since 0 is not less than -3 then we shade away from the point (0, 0). That is how you find the answer.

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mathmate mathmate · Answer 2 · 2018-04-18T21:29:09+02:00

First step is to graph the equality
y=x-3

In a graph of y=mx+b
m is the slope, and in this case, m=1, which means that y increases by one for each step in x=1. This creates a line at 45 degrees from bottom left to top right, passing through the origin.

The b=-3 means the line has to be lowered from the origin by 3 units.
b is called the y-intercept, where the line cuts the y-axis (=-3).

So with the line drawn, we need to know the style of the line.

If the inequality is a strict inequality (< or >), then the line is drawn dotted.
If the line is an inequality together with an equality ( ≤ or ≥ or = ), then it is drawn solid.

Finally, an inequality has to be shaded on the side where the inequality is true.

Looking at the inequality, y<x-3 we can read immediately that the valid side is where y is small ("y is less"), so we shade the part below the line.

The finished graph is attached.