Is (8, 5) a solution to this system of inequalities?

15x + y > 6

10x + 11y ≥ 14

asked by guest
on Nov 22, 2024 at 11:17 pm



MathBot Answer:

True, $\left( 8, \ 5\right)$ is a solution of $15 x + y > 6 \text{ and } 10 x + 11 y \geq 14$.


$$\begin{gathered}15 x + y > 6\\15 \left(8\right) + 5 \stackrel{?}{\gt} 6\\125 \gt 6\end{gathered}$$$$\begin{gathered}10 x + 11 y \geq 14\\10 \left(8\right) + 11 \left(5\right) \stackrel{?}{\ge} 14\\135 \ge 14\end{gathered}$$