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The part highlighted in bold above is incorrect. As 5< -x, multiplying both sides by -1 gives you -5> x (the sign flips), which is the same as saying x< -5, not as you have indicated x > -5. As you have already deduced that -5 is GREATER THAN x, clearly that means x is also LESS THAN -5. So when you switch each value to the opposite side, you will also need to flip the sign around. Eg if 1 is GREATER THAN -2, then -2 is LESS THAN 1.

Re: Help me understand the flipping of the inequality sign [#permalink]

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11 Jun 2015, 00:58

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