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Which of the following inequalities is an algebraic expression for the

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Which of the following inequalities is an algebraic expression for the  [#permalink]

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New post 26 Sep 2018, 06:47
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

67% (00:45) correct 33% (00:25) wrong based on 24 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) |x-2|≤2
(D) |x-1|≤3
(E) |x+1|≤3

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Re: Which of the following inequalities is an algebraic expression for the  [#permalink]

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New post 26 Sep 2018, 08:04
1
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 |x-a| and b:
Here , putting a and b, we get |x-1|≤3

hence, the Required inequality is |x-1|≤3

Answer = E
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Re: Which of the following inequalities is an algebraic expression for the &nbs [#permalink] 26 Sep 2018, 08:04
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