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It is correct that inequality multiplied by same number on both side is equivalent inequality i.e. 5≥3 Inequality greater than or equal is multiplied is multiplied by 7. We get 35 ≥21

Or the reverse might be true 3≤ 5 if multiplied by 7 is 21≤ 35

We may specify the number 1≤x ≤ y where y∈ℕ any natural number. This may have different implications in practical life. Two gang of criminals x and y exist where x ≥ y when both gangs are sponsored by so-called democratic government and they get multiplication by corruption factor 'c' xc ≥ yc is now un-manageable

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Q: Multiplying both sides of an inequality by the same number always produces an equivalent inequality?
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