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For the region (y \ge x+2) and (y \le 6-x), when will a solution exist?

Answer and explanation

Correct answer: When (x \le 2)

For both to hold, (x+2 \le 6-x), so (2x \le 4) and (x \le 2). For a region between two lines, the lower bound must not exceed the upper bound.

Related tags

Between LinesExistenceGraphical InequalityGraphical Solution Of Linear Inequalities In Two VariablesLinear InequalitiesMathematicsClass 11 Mcq

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