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in Linear Inequations by (24.8k points)
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Write the solution set of the inequation |2 - x| = x - 2.

1 Answer

+1 vote
by (27.0k points)
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Best answer

|2 – x| = x – 2 

⇒ |x – 2| = x – 2 

We know that,

Mode is always positive or zero. 

So, 

x – 2 is also positive or zero. 

⇒ x – 2 ≥ 0 

⇒ x ≥ 2 

So, 

Final answer is x ∈ [2, ∞)

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