TheEmojiSlayer2005
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- Aug 3, 2023
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My first thought is to rewrite the LHS in piecewise form, and solve something like 5 cases.View attachment 36192
How should I solve such an inequality that contains multiple absolute values?
[math]|u|+|v| \geq u+v[/math]View attachment 36192
How should I solve such an inequality that contains multiple absolute values?
That's clearly what you are intended to notice; they designed the problem carefully. But, of course, most problems that look similar to this one would either need a different related inequality, like [imath]|u|+|v| \geq u-v[/imath], or would require a general method such as I suggested.[math]|u|+|v| \geq u+v[/math]