The number of elements in the set $\{x \in \mathbb{R} : (|x| - 2)\cdot|2x+3| = 1\}$ is $\underline{\hspace{2em}}$.

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JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 3 August 2021, Shift 2, Maths Q81

Question 81 of 90 in this shift, Maths question 21 of 30, Section B.

The number of elements in the set

\{x \in \mathbb{R} : (|x| - 2)\cdot|2x+3| = 1\}

\underline{\hspace{2em}}

Official answer

NTA final key.

Chapter: Relations and Functions
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.