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Modulus Function

The solution ...

Question

The solution set of the equation $| x - 3 | = x - 3$ is?

] 3, \infty [

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[3, 0]

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ϕ

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The set R of all real numbers

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Solution

The correct option is B $[3, 0]$
$∣ x - 3 ∣= x - 3$
$y =∣ x - 3 ∣= 3 - x \forall x < 3$
$y =∣ x - 3 ∣= 3 - x \forall x \geq 3$
$y = x - 3$
$∣ x - 3 ∣= x - 3$
Solution set is $3, 0$

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Similar questions

If x a set of all real numbers R the find the solution set for $(x - 3) (x + 5) < 0$

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