Set 15: Linear Inequalities (Intermediate)

Explanation

Answer: A

Which inequality represents the set of all points more than 3 units away from the y-axis?

$|x| > 3$

✓ Correct

$|y| > 3$

$|x| < 3$

$x > 3$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Distance from y-axis is given by $|x|$ . 1. Distance from y-axis: The absolute value of the x-coordinate, $|x|$ . 2. More than 3: $> 3$ 3. Inequality: $|x| > 3$ Strategic Tip: Distance from x-axis is $|y|$ . Distance from y-axis is $|x|$ . Choice B is incorrect because it represents distance from the x-axis. Choice C is incorrect because it represents points within 3 units. Choice D is incorrect because it only includes the right side, missing the left side ( $x < -3$ ).

Key Steps:

•

The correct answer is $|x| > 3$

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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Set 15: Linear Inequalities (Intermediate)

Detailed Explanation

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