Question

Peter wants to plant x plum trees and y apple trees.
He wants at least 3 plum trees and at least 2 apple trees .
(a) Write down one inequality in x and one inequality in y to represent these conditions.

Answer 1

Given that Peter wants to plant $x$ plum trees and $y$ apple trees.

Also given that he wants at least $3$ plum trees and at least $2$ apple trees.

Therefore,

No. of plum trees Peter wants to plant $\ge 3$

$\Rightarrow x\ge 3.....\left(1\right)$

No. of apple trees Peter wants to plant $\ge 2$

$\Rightarrow y\ge 2.....\left(2\right)$

Equation $\left(1\right)$ and $\left(2\right)$ are the required inequalities.