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Class 11MathematicsLinear InequalitiesGraphical solution of linear inequalities in two variablesEasy
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For the inequality (x+2y>6), which statement about the boundary line is correct?

Answer and explanation

Correct answer: The boundary line will be dashed

The boundary line for x+2y>6 is x+2y=6. Since the inequality sign is >, points on this line are not included in the solution region. Therefore, the boundary line is drawn dashed. A solid line is used only for inequalities containing ≥ or ≤. Exam tip: First replace the inequality sign with = to obtain the boundary line, then use the sign to decide whether the line is solid or dashed.

Related tags

Linear InequalitiesBoundary LineStrict InequalityGraphical SolutionTwo VariablesGraphical Solution Of Linear Inequalities In Two VariablesMathematicsClass 11 Mcq
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10 more MCQs
  1. 1Which statement correctly means x∈[1,4]?
  2. 2Which statement is always true about the solution region of a system of linear inequalities in two variables?
  3. 3In the graph of the inequality (x+y\leq 4), where will the point ((0,0)) lie?
  4. 4For the inequality (y> x+1), how is the boundary line drawn?
  5. 5Which is the solution region of (y\leq 3)?
  6. 6What region does the graph of (x> -2) represent?
  7. 7What conclusion is obtained by testing ((0,0)) in (2x+y\geq 6)?
  8. 8Which statement is correct for the boundary line of (x+y<5)?
  9. 9For the inequality (x+2y\leq 8) with boundary (x+2y=8), which point is in the solution region?
  10. 10Will the boundary line be included in the graph of (y\geq -1)?
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