5.7 Graph Linear Inequalities in Two Variables - ppt video online ... - Free Printable

Final Answer:
The solution region for the inequality y > 4x – 3 is the area above the dashed line y = 4x – 3, since (0, 0) satisfies the inequality.

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Explanation:
- First, pretend the inequality is an equal sign: y = 4x – 3. That’s a straight line. Draw it with a dashed line because the inequality is “>” (not ≥), so the line itself is not part of the answer.
- Next, pick a test point that’s easy — like (0, 0). Plug x = 0 and y = 0 into the inequality: Is 0 > 4(0) – 3? That becomes 0 > –3. Yes, that’s true!
- Since (0, 0) works, shade the side of the line where (0, 0) is — which is above the line.
- So, your final graph has a dashed line going up steeply, and you shade everything above it.