Question

Which of the following would be a possible solution to the system of inequalities given below? 2x+3y>12x-y≤ 1 A.(5, 2)B.(0, 5)C.(0, 4)D.(6, 0)

Answer 1

The possible solution from the options is;

`\mleft(0,5\mright)`

Step-by-step explanation:

Given the inequalities;

`\begin{gathered} 2x+3y>12 \\ x-y\le1 \end{gathered}`

Solving the inequality using graphical methods;

Let us plot the graph of the inequalities;

From the graph, the possible solution is in the region with double shading.

Therefore, The possible solution from the options is;

`\mleft(0,5\mright)`