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The statement "Feasible solution for a system of inequalities is restricted to 1st quadrant" is True or False.

Correct answer: A. True

  • A. True
  • B. False
  • C. none of these
  • D. both

Explanation

The correct answer is a) True.The feasible region for a system of inequalities in two variables (x and y) is the set of all points (x, y) that satisfy all the inequalities simultaneously. The feasible region is always bounded by the constraints, which are the lines or curves representing the inequalities.When the constraints are linear inequalities in the form ax + by ≤ c, where a, b, and c are constants, the feasible region is bounded by straight lines. In this case, the feasible region is restricted to the first quadrant, as both x and y must be non-negative (x ≥ 0 and y ≥ 0) for the solution to be feasible.Therefore, the statement "Feasible solution for a system of inequalities is restricted to 1st quadrant" is True.

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About Linear Equations

Linear equations contain variables only to the first power and produce straight-line relationships when represented graphically. Problems involve solving equations with brackets, fractions, and variables on both sides, forming equations from statements, and handling simultaneous linear equations, which differ from quadratic equations by having no squared variable.

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