The number of elements in the set x ∈ R : | x | - 3 x + 4 = 6 is equal to

x ≠ - 4 x - 3 x + 4 = 6 x - 3 = 6 x + 4 No. of solutions = 2

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MathematicsFunctionsNumber of Solutions (graph)Medium2 minPYQ_2021

MathematicsMediumsingle choice

The number of elements in the set $\{x \in R : (| x | - 3) |x + 4| = 6\}$ is equal to

Answer:

Solution:

$x \neq - 4$

$(|x| - 3) (|x + 4|) = 6$

$(|x| - 3) = \frac{6}{(|x + 4|)}$

No. of solutions $= 2$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Number of Solutions (graph)

⏱ 2mℹ️ Source: PYQ_2021

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