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单选题
What is the smallest integer value of x that satisfies the inequality 4-3x < 11?
A
-3
B
-2
C
-1
D
0
E
1
参考答案
参考解析
解析：
Solution 1: If 4-3x < 11, then -3x < 7, so x > -7/3. Since -7/3 is between -2 and -3, the smallest integer value of x that satisfies this inequality is -2. Solution 2: Plug each of the answer choices for x, starting with A., into 4-3x < 11 until you find one that makes the inequality a true statement. Choice A. gives 4-3(-3) < 11, 13 < 11 which is not a true statement. Choice B. gives 4-3(-2) < 11, 10 < 11 which is true, so there is no need to continue.
Solution 1: If 4-3x < 11, then -3x < 7, so x > -7/3. Since -7/3 is between -2 and -3, the smallest integer value of x that satisfies this inequality is -2. Solution 2: Plug each of the answer choices for x, starting with A., into 4-3x < 11 until you find one that makes the inequality a true statement. Choice A. gives 4-3(-3) < 11, 13 < 11 which is not a true statement. Choice B. gives 4-3(-2) < 11, 10 < 11 which is true, so there is no need to continue.
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