The number of elements in the set x ∈ R : | x | - 3 x + 4 = 6 is equal to, 3, 2, 4, 1

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

The number of elements in the set x ∈ R : | x

Question: Answered & Verified by Expert

The number of elements in the set

\{x \in R : (| x | - 3) |x + 4| = 6\}

is equal to

MathematicsFunctionsJEE MainJEE Main 2021 (16 Mar Shift 1)

Options:

Solution:

2707 Upvotes Verified Answer

The correct answer is:

2

$x \neq - 4$

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

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

No. of solutions $= 2$

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.