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
DOne way to approach this question is to plug in numbers for the variables and see what the relationship between the two quantit
DOne way to approach this question is to plug in numbers for the variables and see what the relationship between the two quantit
admin
2014-08-12
48
问题
选项
答案
D
解析
One way to approach this question is to plug in numbers for the variables and see what the relationship between the two quantities is for each of the numbers you plug in.
If you plug in x = 2, you see that Quantity A is 3
x+1
= 3
3
or 27, and Quantity B is 4
x
= 4
2
, or 16. In this case, Quantity A is greater than Quantity B.
If you plug in x = 3, you see that Quantity A is 3
x+1
= 3
4
, or 81, and Quantity B is 4
x
= 4
3
, or 64. In this case, Quantity A is greater than Quantity B.
If you plug in x = 4, you see that Quantity A is 3x+1 = 3
5
or 243, and Quantity B is 4
x
= 4
4
, or 256. In this case, Quantity B is greater than Quantity A. Since for x = 2 and for x= 3, Quantity A is greater than Quantity B, and for x= 4, Quantity B is greater than Quantity A, it follows that the relationship between the two quantities cannot be determined. The correct answer is Choice D.
Since both quantities are algebraic expressions, another way to approach this problem is to set up a placeholder relationship between the two quantities and simplify it to see what conclusions you can draw.
For any value of x, the value of 3x is positive, so dividing by 3x does not change any inequality that could be put in the placeholder. Since each step in this simplification is reversible, this reduces the problem to comparing 3 with ;(4/3)
x
.
You can see that because 4/3 is greater than 1, the value of(4/3)
x
becomes greater as x becomes larger. In particular, it is greater than 3 for large enough values of x.
For the smallest value of x, x = 2, the relationship is(4/3)
2
= 16/9< 3.
Since for x = 2, Quantity A is greater than Quantity B and for large values of x, Quantity B is greater than Quantity A, it follows that the relationship between the two quantities cannot be determined. The correct answer is Choice D.
转载请注明原文地址:https://kaotiyun.com/show/hfkO777K
本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
相关试题推荐
MarleyDiaslovesnothingmorethangettinglostinabook.Butthebooksshewasreadingatschoolwerestartingtogetonher
Thiskindofcomputeris________handlingallkindsofinformation.
Therelationshipbetweenemployersandemployeeshasbeenstudied______.
AsTheplanecircledovertheairport,everyonesensedthatsomethingwaswrong.Theplanewasmovingunsteadilythroughtheair
AsTheplanecircledovertheairport,everyonesensedthatsomethingwaswrong.Theplanewasmovingunsteadilythroughtheair
Ourpreferencesforcertaincolorsare______accordingtothepassage.Whichofthefollowingcouldbethemostsuitabletitle
Therearemanyolderpeopleintheworldandtherewillbemanymore.Alittle-knownfactisthatover60percentoftheolderp
Duringthelastthreedecades,thenumberofpeopleparticipatinginphysicalfitnessprograms______sharply.
DuringatriptoobservewildanimalsinAfrica,Iencounteredtheleastbraveanimalonearth,thewildebeest(角马).Isatona
What’sthesumofallthedigitsofinteger(10100-38)?
随机试题
被处罚人逾期不履行行政罚款决定的,公安机关可以按照每日按罚款数额的3%加处罚款,加处罚款总额不得超过罚款数额的2倍。
Recruitersspendanaverageofsixsecondsreviewingaresumebeforetheymaketheinitialdecisiononcandidates.Thatmeansyo
裸露的、未作表面防火处理的钢结构,耐火极限为()左右。
1985年3月,正式把“一国两制”确定为基本国策的会议是【】
下列诗人中属于“现代派”的是()
空气栓塞致死的原因是气体阻塞
消化性溃疡,常表现
A、 B、 C、 D、 C从第三项开始,每项等于前两项积的1/2。故空缺项=
工程量清单计价应包括按招标文件规定,完成工程量清单所列项目的全部费用,一般包括()。【2005年真题】
徇私舞弊减刑、假释、暂予监外执行罪
最新回复
(
0
)