Set 15: Linear Inequalities (Intermediate)

Explanation

Answer: A

If $3x + 2 \geq 11$ , what is the smallest integer value of $x$ ?

$3$

✓ Correct

$4$

$2$

$5$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Solve and find the minimum integer. 1. Subtract 2: $3x \geq 9$ 2. Divide by 3: $x \geq 3$ 3. Smallest integer: $x = 3$ Strategic Tip: For $\geq$ , the boundary value is included. Choice B is incorrect because 4 is not the smallest. Choice C is incorrect because $2< 3$ doesn't satisfy the inequality. Choice D is incorrect because 5 is not the smallest.

Key Steps:

•

The correct answer is $3$

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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