Which of the following inequalities has the solution set....

[sanjay]

GMAT prep problem. Test-1.

Which of the following inequalities has a solution set that, when graphed on the number line, is a single line segment of a finite length?

A. x^4 is greater than equal to 1.
B. x^3 <=27 (less than equal to)
C. x^4 >=16
D. 2<=/x/<=5
E. 2<=3x+4<=6

I would appreciate if someone explains me why "E" is the correct answer. I am unable to understand the concept behind this question.

Thanks in advance.
Sanjay

[sanjay]

I figured it out myself. Anyway I have put the link for the explanation.

viewtopic.php?f=30&t=283&view=previous

[agha79]

The link is for a wrong problem.

Can MGAMT teachers please help?

[geetesht]

The link is for a wrong problem.

Can MGAMT teachers please help?

It helps to draw the inequalities on the number line and home in on the write choice.

A) x^4 >= 1 OR 1 <= X <= -1 --<-- -1 --0-- 1 -->-- (line not of finite length)

Doesn't fit the bill.

B) X^3 <= 27 OR X <= 3 ----0---<-- 3 ----- (line not of finite length)

again not our requirement

C) X^4 >= 16 OR 2<=X<=-2 ----<-- -2 --0 -- 2 -->-- (line not of finite length)

Ruled out !

D) 2<=|x|<= 5

This inequality will give you two lines of finite length on the number line one between 2 and 5 and the second one between -2 and -5 . THIS DOES NOT HELP US EITHER as the qts Explicitly says that

'Which of the following inequalities has a solution set that, when graphed on the number line, is a single line segment of a finite length?'

WRONG CHOICE AGAIN

E) 2<= 3X+4 <= 6

after simplyfying we get (-2/3) <= X <= (2/3) ------- (-2/3)->--0--<-- (2/3) ---

BINGO we get SINGLE LINE segment of finite length !!!!!!!

[RonPurewal]

please search the forum, people. this problem in particular has already been posted several times.

here are just two of them:

which-of-the-following-inequalities-has-a-solution-set-when-t793.html

which-of-the-following-inequalities-has-a-solution-set-that-t7633.html