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CA Foundation · Quantitative Aptitude · Linear Inequalities

Which of the following is a linear inequality in two variables?

3x + 2y ≤ 18 is the linear inequality in two variables. It contains both x and y with power one and uses an inequality sign. The others are non-linear, an equation, or involve only one variable.

  1. A3x + 2y ≤ 18Correct
  2. Bx² + y > 4
  3. Cx + 5 = 9
  4. D2x − 7 < 3

Explanation

A linear inequality in two variables has both x and y appearing to the first power and uses an inequality sign. 3x + 2y ≤ 18 fits. x² + y > 4 is not linear; x + 5 = 9 is an equation; 2x − 7 < 3 has only one variable.

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