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MathsMediumMCQ2021 ยท 16 Mar Shift 1

Q72.The number of elements in the set {x โˆˆR : (|x| โˆ’3)|x + 4| = 6} is equal to (1) 3 (2) 2 (3) 4 (4) 1

What This Question Tests

This question requires solving an equation involving multiple modulus functions by considering different cases based on the sign of the expressions inside the modulus, leading to several quadratic equations.

Concepts Tested

Solving equations with modulusCase analysis for modulusQuadratic equations

Formulas Used

|x| = x for x>=0, -x for x<0

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