Can we pull out the scalar factor?

Algebra Level 2

True or False?

\quad ∣ x ∣ + ∣ 2 x ∣ = ∣ 3 x ∣ |x| + |2x| = |3x| is an algebraic identity.

Notation : ∣ ⋅ ∣ | \cdot | denotes the absolute value function .

True False

Pi Han Goh by Pi Han Goh , 30, Malaysia

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1 solution

Michael Fuller
Jul 19, 2016

∣ x ∣ + ∣ 2 x ∣ = ∣ x ∣ + 2 ∣ x ∣ = 3 ∣ x ∣ = ∣ 3 x ∣ ⇒ True |x|+|2x|=|x|+2|x|=3|x|=|3x| \Rightarrow \large \color{#20A900}{\boxed{\text{True}}} .

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