Rewrite each linear inequality in slope-intercept form. Then graph the solutions in the coordinate plane.
y - x< 3

Slope intercept form is y < x+3

The graph is below

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Explanation:

To get the inequality into slope intercept form, we add x to both sides getting y < x+3

Now let's graph y = x+3, which is the boundary line of the inequality.

This line has slope of 1 and y intercept 3. Two points on this line are (0,3) and (1,4). Make this boundary line a dashed line to indicate "points on the boundary are not part of the solution set"

We shade below the dashed boundary line due to the "less than" sign. You could also use a test point like (0,0) to see that it's part of the solution set, so that point is in the shaded region.

Refer to the graph below.

a - base

b - exponent

so,