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Set 5: Linear Inequalities

Explanation

Answer: A

Which inequality represents the shaded region on a coordinate plane above the line y=2x1y = 2x - 1?

A.

y>2x1y > 2x - 1

✓ Correct
B.

y<2x1y < 2x - 1

C.

y2x1y \geq 2x - 1

D.

y2x1y \leq 2x - 1

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Interpret the shading and line type. 1. "Above": Shading above the line corresponds to >> or \geq. 2. "Strictly above": Usually implies a dashed line (though not specified, "above" usually means >>). If the line were included, it would say "on or above". 3. Result: y>2x1y > 2 x - 1 Strategic Tip: y>...y > ... shades up/above. y<...y < ... shades down/below. Choice B is incorrect because it shades below. Choice C is incorrect because it includes the line (\geq), which is "at or above". Without "dashed/solid" info, A is the safest bet for "above". Choice D is incorrect because it shades below.

Key Steps:

The correct answer is y>2x1y > 2x - 1

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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