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📐 Mathematics  ·  Linear Inequalities  ·  JEE

On a number line, how is the boundary point of x > 3 represented?

Answer: An open (hollow) circle at 3.

  • A A closed (filled) circle at 3
  • B An open (hollow) circle at 3
  • C No mark at all
  • D An arrow pointing left from 3

Correct answer: B. An open (hollow) circle at 3

Explanation: Since the inequality is strict (x > 3), the point 3 itself is not included, shown with an open circle.

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 →