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Why most countries are struggling to shut down 2G.
(restofworld.org)
This is a most excellent place for technology news and articles.
If you divide an inequality by a negative number you have to flip the sign.
If you want to divide out the g before knowing if it's positive or negative you need to make the case distinction.
If you make the case distinction and one branch results in a false statement (5 < 2 in this case), you have disproven the original inequality, or at least discovered a constraint on the original inequality. Then you arrive back at FooBarrington's statement that includes the constraint :-)