x + 3 > 2
Subtract 3 from both sides to solve for x:
x + 3 - 3 > 2 - 3
x > -1
x > -1 is a vertical line with an undefined slope.
Since any two points on a vertical line have the same x-coordinate, slope cannot be computed as a finite number using the slope formula, because division by zero is an undefined operation. Vertical lines are symbolically represented by the equation, x = a where a is the x-intercept.
To graph, start at x = -1 (you could choose any y-coordinate), then draw a vertical line from that point. Use a dashed boundary line (because of the “ >” symbol). The boundary line separates the rectangular coordinate system into two parts. One of those parts will make the inequality true and be its solution.
Attached is a graph of x > -1.
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