Consider the system of inequalities and

MATHEMATICS · Single correct · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

Consider the system of inequalities

x + y \le 2

and

x + y \ge 5

. How would you classify the resulting region of points that satisfy both inequalities? (a) An unbounded region (half-plane) (b) Empty (no solution) (c) A bounded strip between

x+y=2

and

x+y=5

(d) Only the line

x+y = 2

Related theory

Pair of Linear Equations
Linear Inequalities
Consistency and inconsistency
Pair of Linear Equations in Two Variables

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