Examine the system of inequalities x-y>2

MATHEMATICS · Single correct · CBSE · Mathematics · Linear Inequalities · Linear Inequalities

Problem

Examine the system of inequalities

x-y>2,\qquad x-y<0.

Which one of the following best describes the set of solutions of this system? (a)

\text{Infinitely many ordered pairs with }x-y>2\text{ satisfy both inequalities.}

(b)

\text{Infinitely many ordered pairs with }0 < x-y < 2\text{ satisfy both inequalities, forming a strip.}

(c)

\text{No ordered pair satisfies both inequalities.}

(d)

\text{Exactly one ordered pair, namely the point where }x-y=1,\text{ satisfies both inequalities.}