Let Z_1 and Z_2 be any two complex numbers.St | vedclass

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(B) Statement $1$ is the triangle inequality for subtraction,which states $|Z_1 - Z_2| \ge ||Z_1| - |Z_2||$,and since $||Z_1| - |Z_2|| \ge |Z_1| - |Z_

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Statement $1$ is true,Statement $2$ is true,Statement $2$ is not a correct explanation of Statement $1$.

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(B) Statement $1$ is the triangle inequality for subtraction,which states $|Z_1 - Z_2| \ge ||Z_1| - |Z_2||$,and since $||Z_1| - |Z_2|| \ge |Z_1| - |Z_2|$,Statement $1$ is true.Statement $2$ is the standard triangle inequality for addition,which is also a fundamental property of complex numbers and is true.However,Statement $2$ does not explain Statement $1$ as they are independent properties of the modulus of complex numbers.

Let $Z_1$ and $Z_2$ be any two complex numbers.
Statement $1: |Z_1 - Z_2| \ge |Z_1| - |Z_2|$
Statement $2: |Z_1 + Z_2| \le |Z_1| + |Z_2|$

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Let $Z_1$ and $Z_2$ be any two complex numbers.Statement $1: |Z_1 - Z_2| \ge |Z_1| - |Z_2|$Statement $2: |Z_1 + Z_2| \le |Z_1| + |Z_2|$