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What is the best and fool-proof way to solve the below kind of questions ?
@Bunuel

|2x+3| >= |x+1|
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*anirchat writes:*
What is the best and fool-proof way to solve the below kind of questions ?
@Bunuel

|2x+3| >= |x+1|
is the solution x < = 2 ?
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is the solution x < = 2 ?
Can you provide your solution ?
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Two ways to solve this -

1. algebraic solution ->

x<-3/2

-2x-3 >= -x-1
0 >= x+2
x<=-2 => (-inf, -2]

-3/2<=x<-1

2x+3 >= -x-1
3x+4 >= 0
x>=-4/3 => [-4/3, -1)

x>=-1

2x+3 >= x+1
x+2>=0
x>=-2 => [-1, inf)

solution => (-inf, -2] and [-4/3, inf)

2. square both the sides as both the sides have positive values ->

(2x+3)^2 >= (x+1)^2
4x^2 + 12x + 9 >= x^2 + 2x + 1
3x^2 + 10x + 8 >= 0
3x^2 + 6x + 4x + 8 >= 0
(3x+4)(x+2) >= 0
x<=-2 or x>=-4/3
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how-many-multiples-of-11-are-there-between-55-and-144-exclusive-355048.html

I believe there is a mistake in the ques/answer. if its exclusive then its 7. I think the answer is taken for inclusive

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How many multiples of 11 are there between 55 and 144, exclusive?

A. 5
B. 6
C. 7
D. 8
E. 9

https://gmatclub.com/forum/how-many-mul ... 55048.html

I believe there is a mistake in the ques/answer. if its exclusive then its 7. I think the answer is taken for inclusive

@bb


  1. 66,
  2. 77,
  3. 88,
  4. 99,
  5. 110,
  6. 121,
  7. 132,
  8. 143.

P.S. Please post your doubts directly in the topic. Thank you!
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*rak08 writes:*
I believe there is a mistake in the ques/answer. if its exclusive then its 7. I think the answer is taken for inclusive
After exclusion of 55 and 144, Answer will be 8.
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opps yes, i read it 143..
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anyone from india
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like for what are you using this

for practice
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*vijayishere writes:*
for practice
daily prep and for practice, how to approach the questions
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are you going to givr gmat exam

give*
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*vijayishere writes:*
are you going to givr gmat exam
yes mam
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