Year 11 Maths - General Inequalities and Linear Programming

Linear Inequalities In Two Variables

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Questions

Question 1

31372

Which point lies in the region \(x+y>0\)

\((1,-2)\)

\((-1,2)\)

\((-1,-2)\)

\((-2,1)\)

Answer

\((-1,2)\)

Worked Solution

\begin{align}
&\text {For }(-1,2) \\
&x=-1, \; y=2\\
&x+y>0 \\
&\begin{aligned}
\text {LHS }&=x+y \\
&=-1+2 \\
&=1>0\\
\end{aligned}\\
&\therefore (-1,2)
\end{align}

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