2
algebra

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

A

x−4≥10x - 4 \geq 10

B

x−4>10x - 4 > 10

C

x−4≤10x - 4 \leq 10

D

4−x≥104 - x \geq 10

Correct Answer: A

Choice A is the correct answer. Translate the words to symbols.

  1. 'decreased by 4': x−4x - 4
  2. 'is at least': ≥\geq (greater than or equal to)
  3. Result: x−4≥10x - 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.

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Linear Functions Set 61