Review question

# Can we find an integer solution to three simultaneous inequalities? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5281

## Question

From the inequalities $y-2x>0,\qquad x+y>3,\qquad 2y-x<5$ deduce that $\frac{1}{3}< x < \frac{5}{3},\qquad 2< y <\frac{10}{3},$ and hence that the given inequalities cannot be satisfied simultaneously by integral values of $x$ and $y$.

[The phrase ‘integral values’ means the same as ‘integer values’. ]