Inequalities involving complex numbers

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Reference no: EM13127254

1) Use properties of moduli to sow that when |z3| does not equal |z4|,

Re(z1 + z2) / |z3 + z4| <= (is smaller or equals) (|z1| + |z2|) / (| |z3| -|z4| |)

2) Verify that sqrt(2) * |z| >= |Re z| + |Im z|

(suggestion: reduce this inequality to (|x| - |y|)^2 +. 0

Reference no: EM13127254

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