Given that $|a - b| = 0$ , what can we determine about the expression $|a| - |b|$ ?

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Explanation

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Official Explanation

Official

The equation

|a - b| = 0

indicates that the distance between

a

and

b

is zero, which means

a = b

.…

Comments

adityaSep 28, 2024

thank you very much!

andreaMar 22, 2024

appreciated!

What this question tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.