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Subjects
Class 11MathematicsLinear InequalitiesGraphical solution of linear inequalities in two variablesHard
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Which statement about the origin is correct for the inequality (2x+3y \ge 0)?

Answer and explanation

Correct answer: Origin is on boundary and included in solution

Substituting ((0,0)) gives (0 \ge 0), true, and equality means the point is on the boundary. The boundary is included for (\ge).

Related tags

OriginBoundary IncludedGreater EqualGraphical Solution Of Linear Inequalities In Two VariablesLinear InequalitiesMathematicsClass 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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