Question

Determine which ordered pair makes the inequality true 2x + 3y < 12

Answer 1

Step-by-step explanation

We have to replace (x, y) for each ordered pair and see which one makes the inequality true:

a.

`\begin{gathered} 2\cdot0+3\cdot7\le12 \\ 0+21\le12 \\ 21\le12\text{ }\rightarrow\text{ false} \end{gathered}`

b.

`\begin{gathered} 2\cdot1+3\cdot9\le12 \\ 2+27\le12 \\ 29\le12\text{ }\rightarrow\text{ false} \end{gathered}`

c.

`\begin{gathered} 2\cdot2+3\cdot2\le12 \\ 4+6\le12 \\ 10\le12\text{ }\rightarrow\text{ true} \end{gathered}`

d.