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Class 11MathematicsLinear InequalitiesGraphical solution of linear inequalities in two variablesEasy
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What conclusion is obtained by testing ((0,0)) in (2x+y\geq 6)?

Answer and explanation

Correct answer: ((0,0)) is not in the solution region

Substituting ((0,0)) gives (0\geq 6), which is false, so the origin side is not the solution. In exams, shade the opposite side when the test is false.

Related tags

Linear InequalitiesTest PointOriginClass 11Graphical 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. 7Which statement is correct for the boundary line of (x+y<5)?
  8. 8For the inequality (x+2y\leq 8) with boundary (x+2y=8), which point is in the solution region?
  9. 9Will the boundary line be included in the graph of (y\geq -1)?
  10. 10What result is obtained by testing ((0,0)) in (3x-y\leq 9)?
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