Set 12: Linear Inequalities (Advanced)

Explanation

Answer: A

Which inequality represents 'a number decreased by 4 is at least 10'?

$x - 4 \geq 10$

✓ Correct

$x - 4 > 10$

$x - 4 \leq 10$

$4 - x \geq 10$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Translate the words to symbols. 1. 'decreased by 4': $x - 4$ 2. 'is at least': $\geq$ (greater than or equal to) 3. Result: $x - 4 \geq 10$ Strategic Tip: 'At least' means $\geq$ , 'at most' means $\leq$ . Choice B is incorrect because 'at least' includes equality. Choice C is incorrect because it uses the wrong inequality direction. Choice D is incorrect because it subtracts in the wrong order.

Key Steps:

•

The correct answer is $x - 4 \geq 10$

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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