Which of the following inequalities is an algebraic expressi

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

17 Dec 2012, 06:54

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Which of the following inequalities is an algebraic expression for the shaded part of the number line above?

(A) |x| <= 3
(B) |x| <= 5
(C) |x - 2| <= 3
(D) |x - 1| <= 4
(E) |x +1| <= 4

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

17 Dec 2012, 06:57

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Which of the following inequalities is an algebraic expression for the shaded part of the number line above?

(A) |x| <= 3
(B) |x| <= 5
(C) |x - 2| <= 3
(D) |x - 1| <= 4
(E) |x +1| <= 4

From the number line it follows that -5\leq{x}\leq{3}

(A) |x| <= 3 --> -3\leq{x}\leq{3}. Discard.
(B) |x| <= 5 --> -5\leq{x}\leq{5}. Discard.
(C) |x - 2| <= 3 --> -3\leq{x-2}\leq{3} --> add 2 to all parts: -1\leq{x}\leq{5}. Discard.. Discard.
(D) |x - 1| <= 4 --> -4\leq{x-1}\leq{4} --> add 1 to all parts: -3\leq{x}\leq{5}. Discard.. Discard.
(E) |x +1| <= 4 --> -4\leq{x+1}\leq{4} --> subtract 1 from all parts: -5\leq{x}\leq{3}. OK.

Answer: E.
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Re: Which of the following inequalities is an algebraic expressi [#permalink] 17 Dec 2012, 06:57

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Which of the following inequalities is an algebraic expressi

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Which of the following inequalities is an algebraic expressi

Which of the following inequalities is an algebraic expressi

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