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# If n denotes a number to the left of 0 on the number line

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Manager
Joined: 30 May 2012
Posts: 220

Kudos [?]: 77 [0], given: 151

Location: United States (TX)
Concentration: Finance, Marketing
GPA: 3.3
WE: Information Technology (Consulting)
Re: If n denotes a number to the left of 0 on the number line [#permalink]

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10 Jul 2017, 19:39
Math mods and others - Please check my approach:

Given: n is less than 0, implying n is negative.

Also given: $$n^2$$ < $$\frac{1}{100}$$

Square rooting both sides:

n< -$$\frac{1}{10}$$ AND n < $$\frac{1}{10}$$

Reciprocating both the inequalities,
$$\frac{1}{n}$$ <-10 AND $$\frac{1}{n}$$ <10

Since, $$\frac{1}{n}$$ MUST be less than -10 and 10 at all times, the option that always satisfies this is A.

Is this a right approach? I always falter when removing the squares on both sides of the equation/inequality and I want to make sure my approach is correct so that I can register it in my noggin.

Kudos [?]: 77 [0], given: 151

Senior Manager
Joined: 26 Dec 2015
Posts: 254

Kudos [?]: 52 [0], given: 1

Location: United States (CA)
Concentration: Finance, Strategy
WE: Investment Banking (Venture Capital)
Re: If n denotes a number to the left of 0 on the number line [#permalink]

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26 Aug 2017, 08:41
experts, please correct me if i'm wrong:

isn't it easy to just take a glance here and eliminate A/C?
- You're told the SQUARE of n = fraction meaning n = fraction
--> The reciprocal of n must therefore b an integer. Elim B, C, D straight away

Between A & E, you know that n = negative, so its reciprocal cannot be positive. Elim E.

Ans: A

Kudos [?]: 52 [0], given: 1

Re: If n denotes a number to the left of 0 on the number line   [#permalink] 26 Aug 2017, 08:41

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# If n denotes a number to the left of 0 on the number line

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