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📐 Mathematics  ·  Linear Inequalities  ·  JEE

Which of these is a linear inequality in two variables?

Answer: 3x + 2y > 6.

  • A x<sup>2</sup> + y <= 4
  • B 3x + 2y > 6
  • C xy < 10
  • D x<sup>3</sup> - y >= 0

Correct answer: B. 3x + 2y > 6

Explanation: 3x + 2y > 6 has both variables to the first power only, making it linear.

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 →