首页
外语
计算机
考研
公务员
职业资格
财经
工程
司法
医学
专升本
自考
实用职业技能
登录
外语
Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,
Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,
admin
2017-10-16
28
问题
Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
(A)Quantity A is greater.
(B)Quantity B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question.
选项
答案
B
解析
Set up the initial comparison:
However, the problem asks for a comparison between Quantity A and Quantity B, not a comparison between 1 and y. To go from the comparison between 1 and y to a comparison between Quantities A and B, start with the last comparison, 1 < y, and carefully consider each simplification step in reverse order to determine what each comparison implies about the preceding comparison, all the way back to the comparison between Quantities A and B if possible. Since step 3 was "divide both sides by 2," multiplying both, sides of the comparison 1 < y by 2 implies the preceding comparison 2 < 2y, thus reversing step 3. Each simplification step can be reversed as follows:
Reverse step 3: multiply both sides by 2.
Reverse step 2: add 3y to both sides.
Reverse step 1: divide both sides by 5.
When each step is reversed, the relationship remains less than(<), so Quantity A is less than Quantity B.
Thus the correct answer is Choice B, Quantity B is greater.
This explanation uses the following strategy.
Strategy 5: Simplify an Arithmetic or Algebraic Representation
While some simplification steps like subtracting 3 from both sides or dividing both sides by 10 are always reversible, it is important to note that some steps, like squaring both sides, may not be reversible.
Also, note that when you simplify an inequality, the steps of multiplying or dividing both sides by a negative number change the direction of the inequality; for example, if x < y, then —x > -y. So the relationship in the final, simplified inequality may be the opposite of the relationship between Quantities A and B. This is another reason to consider the impact of each step carefully.
转载请注明原文地址:https://kaotiyun.com/show/GgkO777K
本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
相关试题推荐
WehavequiteabitofinformationaboutancientEgyptianmedicine.Doctors’instructionshavebeenfoundtotellus【56】theydid
Whatdoweknowfromthefirstparagraph?Whichofthefollowingistrueaccordingtothepassage?
Themaincauseofpollutionis______.Whichofthefollowingcannothelpsolvingtheproblemofpollution?
Theauthorseemstothinkthatakid’spoorrelationshipwithhisclassmateswould______.Whichofthefollowingisthemajor
Whatyou’realwaysheard?We’reeatingtoomuchsalt.TheaverageAmericangetsabout3.4gramsofsodiumeveryday,farmoreth
ThefactthatAmericanslikeshorteranswerstellsus______.Thepassageindicatesthat______.
DeathValleyisoneofthemostfamousdesertsintheUnitedStates,coveringawideareawithitsalkalisand.Almost20percen
Thequalityofthiskindofcomputeris______tothatofimportedcomputers.
Inthefigureabove,threesquaresandatrianglehaveareasofA,B,C,andXasshown.IfA=144,B=81,andC=225,thenX=
Astudyofadultswhosufferfrommigraineheadachesrevealedthatasignificantproportionofthestudyparticipantssufferfro
随机试题
Schmorl结节
根据《水利部生产安全事故应急预案(试行)》的有关规定,应急工作应当遵循()的原则。
Pickouttheappropriateexpressionsfromtheeightchoicesbelowandcompletethefollowingdialoguebyblackeningthecorrespo
对图3-206所示结构的“几何组成分析”哪项正确?[2004年第20题]
背景材料:某承包商通过竞标取得某标段公路建设项目后,立即组织施工队伍进场施工。为保证工期和控制成本,同时考虑到自身特点及业主和监理工程师要求,承包商决定将一部分防护工程和部分通道与涵洞工程分包给另外承包商施工,报业主或监理工程师审查后,该承包商与分包商签
如图2所示,某种自动洗衣机进水时,与洗衣缸相连的细管中会封闭一定质量的空气,通过压力传感器可感知管中的空气压力,从而控制进水量。假设细管内空气温度不变,洗衣缸内水位升高,则细管中被封闭的空气()。
2014年6月15日~25日在卡塔尔首都多哈举行的第38届世界遗产文化会议上,我国申报的被列人世界遗产名录的文化遗产是()。
回避条件作用
行政监督可以分为政府自我监督和行政外部监督两大类,下列属于政府自我监督的是:
设二阶常系数非齐次线性微分方程y〞+y′+qy=Q(χ)有特解y=3e-4χ+χ2+3χ+2,则Q(χ)=_______,该微分方程的通解为_______.
最新回复
(
0
)