Question

Please help me with this question

Answer 1

To verify if a point solves a system of inequalities we can just put the point in the equations and see if the equation is true, therefore, let's put (-2, 40) at

`\begin{gathered} y>-13x+29 \\ y\leq9x+11 \end{gathered}`

Let's verify the first equation

`\begin{gathered} 40>-13\cdot(-2)+19 \\ 40>26+19 \\ 40>45 \end{gathered}`

The conclusion 40 > 45 is false therefore the point is not a solution to the system. We can also verify if it's a solution to the second equation

`\begin{gathered} 40\leq9\cdot(-2)+11 \\ \\ 40\leq-18+11 \\ \\ 40\leq-7 \end{gathered}`

Again, the conclusion is false. The correct answer is A. No.