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You are watching: Can you square both sides of an inequality

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Can us safely square or sqrt both political parties of an equality in GMAT or does it rely on question to question.For e.g.1. If the concern says all variables are optimistic integers in x>y then can we square or sqrt top top both sides?2. If concern doesn"t administer any details top top the variable species then can we square or sqrt both political parties of an inequality eq?Whats the rule?
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simplyjatMaster | following Rank: 500 short articles Posts: 423Joined: 27 Dec 2007Location: Hyderabad, India Thanked: 36 time Followed by:2 members GMAT Score:770
For squares we have following properties. 1. If the number is much less than 0, the square is constantly greater than the number2. If the number is between 0 and also 1, the square is always smaller than the number3. If the number is greater than 1, the square is constantly greater 보다 the number. In case of inequalities, If the numbers lie between 0 & 1, then we need to reverse the direction the inequality. I.e. If a and also b both are between 0 & 1, and a^2 > b^2 then a b^2 then a b^2 climate a > b
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simplyjat wrote:If the numbers lie in between 0 & 1, then we have to reverse the direction that inequality.
I think you must have actually meant something else since this isn"t true. Ex: .5 > .25 and also (.5)^2=.25 > (.25)^2=.0625The preeminence for squaring inequalities is this:If a > b and also |a| > |b|, climate a^2 > b^2.If a > b and |a| Top
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