Zaymiey

📐 Mathematics  ·  Linear Inequalities  ·  JEE

The solution of the inequality x² < 4 is:

Answer: −2 < x < 2.

  • A −2 < x < 2
  • B only x < 2
  • C only x > 2
  • D x < −2 or x > 2

Correct answer: A. −2 < x < 2

Explanation: x² < 4 means |x| < 2, i.e. −2 < x < 2.

Number Line vs Half-Plane Representationx > 2 (open circle, hollow)2x ≤ 2 (closed circle, filled)shaded regionsatisfies the inequality2D inequality: dashed line = strict, shaded = solution side

One-variable inequalities use open (excluded) or closed (included) circles on a number line; two-variable inequalities use a dashed (strict) or solid (non-strict) boundary line, with the solution being the entire shaded half-plane on one side of it.

Concept context

Solving linear inequalities in one and two variables algebraically and graphically, and representing solutions on a number line or as a region in a plane.

Read the full Linear Inequalities notes →