If |x-3|=x-3,then x in ldots | vedclass

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(A) The definition of the absolute value function is $|a| = a$ if $a \ge 0$.Given the equation $|x-3| = x-3$,this holds true if and only if the expres

Vedclass · Accepted Answer

$[3, \infty)$

Vedclass · Answer

(A) The definition of the absolute value function is $|a| = a$ if $a \ge 0$.Given the equation $|x-3| = x-3$,this holds true if and only if the expression inside the absolute value is non-negative.Therefore,we must have $x-3 \ge 0$.Solving this inequality,we get $x \ge 3$.In interval notation,this is represented as $[3, \infty)$.

If $|x-3|=x-3$,then $x \in \ldots$

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