The problem
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Why does the less than sign change to a greater than sign?
Answer provided by our tutors
Multiplying or dividing the both sides of inequality is changing the sign:
Suppose 'a' and 'b' are both negative with 'a<b'
Switching the signs (multiplying by (-1)) makes the resulting numbers both positive with '−a>−b'
You can see this by drawing the points on the number line:
