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Which of the following inequalities is an algebraic expression for the
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26 Sep 2018, 06:47
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72% (01:09) correct 28% (00:57) wrong based on 178 sessions
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Which of the following inequalities is an algebraic expression for the shaded part of the number line above? (A) x≤2 (B) x≤4 (C) x2≤2 (D) x1≤3 (E) x+1≤3
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Which of the following inequalities is an algebraic expression for the
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Updated on: 04 Dec 2018, 03:48
This is a very nice question to test the inequality concept Steps to solve: 1) Plot the midpoint (a) of the solution set on the number line: here the midpoint, a = (4+2)/2 = 1 2) Find the distance (b unit) of either end points from the mid point : here the distance, b = 2(1) = 1+4 = 3 3) Insert the appropriate sign of inequality between xa and b: Here , putting a and b, we get x(1)≤3 hence, the Required inequality is x+1≤3Answer = E
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Originally posted by gmatbusters on 26 Sep 2018, 08:04.
Last edited by gmatbusters on 04 Dec 2018, 03:48, edited 1 time in total.
Edited a typo



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Re: Which of the following inequalities is an algebraic expression for the
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29 Nov 2018, 02:56
Princ wrote: Attachment: Line.PNG Which of the following inequalities is an algebraic expression for the shaded part of the number line above? (A) x≤2 (B) x≤4 (C) x2≤2 (D) x1≤3 (E) x+1≤3 Looking at the number line, we can say that the answer must be 4 ≤ x ≤ 2Use property : If  x  a  ≤ b then  b ≤ x  a ≤ bApplying this to option (E), we get the following: 3 ≤ x+1 ≤3Solving, Adding ( 1) on both sides, => 31 ≤ x +1 1 ≤ 31 => 4 ≤ x ≤ 2(The answer )



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Re: Which of the following inequalities is an algebraic expression for the
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04 Dec 2018, 03:20
gmatbusters wrote: This is a very nice question to test the inequality concept
Steps to solve:
1) Plot the midpoint (a) of the solution set on the number line: here the midpoint, a = (4+2)/2 = 1
2) Find the distance (b unit) of either end points from the mid point : here the distance, b = 2(1) = 1+4 = 3
3) Insert the appropriate sign of inequality between xa and b: Here , putting a and b, we get x1≤3
hence, the Required inequality is x1≤3
Answer = E Hi.....E says x+1.....not x1.....can you clarify please?



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Re: Which of the following inequalities is an algebraic expression for the
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04 Dec 2018, 03:50
Thanks for pointing out the typo. In xa, a= 1 , hence it will be x+1. The above post has been edited. Thanks Mansoor50 wrote: gmatbusters wrote: This is a very nice question to test the inequality concept
Steps to solve:
1) Plot the midpoint (a) of the solution set on the number line: here the midpoint, a = (4+2)/2 = 1
2) Find the distance (b unit) of either end points from the mid point : here the distance, b = 2(1) = 1+4 = 3
3) Insert the appropriate sign of inequality between xa and b: Here , putting a and b, we get x1≤3
hence, the Required inequality is x1≤3
Answer = E Hi.....E says x+1.....not x1.....can you clarify please?
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Joined: 02 Jan 2017
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Re: Which of the following inequalities is an algebraic expression for the
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17 Jan 2019, 05:18
gmatbusters wrote: This is a very nice question to test the inequality concept
Steps to solve:
1) Plot the midpoint (a) of the solution set on the number line: here the midpoint, a = (4+2)/2 = 1
2) Find the distance (b unit) of either end points from the mid point : here the distance, b = 2(1) = 1+4 = 3
3) Insert the appropriate sign of inequality between xa and b: Here , putting a and b, we get x(1)≤3
hence, the Required inequality is x+1≤3
Answer = E How do we know which sign to put between xa and b



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Re: Which of the following inequalities is an algebraic expression for the
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24 Jan 2019, 05:43
What is X in XA and how does it relate to B?



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Re: Which of the following inequalities is an algebraic expression for the
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08 Apr 2019, 10:59
AlN wrote: gmatbusters wrote: This is a very nice question to test the inequality concept
Steps to solve:
1) Plot the midpoint (a) of the solution set on the number line: here the midpoint, a = (4+2)/2 = 1
2) Find the distance (b unit) of either end points from the mid point : here the distance, b = 2(1) = 1+4 = 3
3) Insert the appropriate sign of inequality between xa and b: Here , putting a and b, we get x(1)≤3
hence, the Required inequality is x+1≤3
Answer = E How do we know which sign to put between xa and b +1 May I also have some more clarity on this?




Re: Which of the following inequalities is an algebraic expression for the
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08 Apr 2019, 10:59






