If |4-3x|

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问题 If |4-3x| <5, which of the following is a possible value of x? Select all such values.

选项 A、1
B、2
C、3

答案A, B

解析 The correct answer is A and B. This problem tests your knowledge of absolute values and inequalities. |4-3x| <5 can be written as two separate inequalities: 4-3x<5 and 4-3x>-5. Because the original inequality was a "less than," the word in between the two new inequalities must be AND. Solve both inequalities as follows:
4-3x<5
-3x-x<1/3
When you multiply both sides of an inequality by a negative number, you must reverse the inequality sign.
x >
Now move on to the next inequality.
4-3x>-5
-3x>-9
x<3
Answer choices A and B are both greater thanand less than 3.
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本试题收录于: GRE QUANTITATIVE题库GRE分类
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