Set 10: Linear Inequalities

Explanation

Answer: A

Identify the error in graphing $y < 2x - 1$ : Step 1: Plot y-intercept at -1. Step 2: Use slope 2 to find next point (1, 1). Step 3: Draw a solid line through points. Step 4: Shade below the line.

Step 3

✓ Correct

Step 1

Step 2

Step 4

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Check line type. 1. Inequality: $y < 2 x - 1$ 2. Symbol: $<$ is strict. 3. Line Type: Must be DASHED. 4. Error: Step 3 drew a SOLID line. Strategic Tip: Always check solid vs dashed first. Choice B is incorrect because intercept is correct. Choice C is incorrect because slope is correct. Choice D is incorrect because shading below ( $<$ ) is correct.

Key Steps:

•

The correct answer is Step 3

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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