Question

determine if the points(2,3),(0,5)and (2,7)are solution points to the inequality below if the point is a solution,enter yes otherwise enter no

Answer 1

All the points are solution to the inequality.

a. yes

b. yes

c. yes

Step-by-step explanation:

Given the inequality;

`y>4-x`

We want to confirm if the given points are solution points to the inequality.

To determine this, let us substitute each of the coordinates into the inequality to confirm if it is true;

`\begin{gathered} (2,3) \\ y>4-x \\ 3>4-2 \\ 3>2 \\ \text{True} \end{gathered}`
`\begin{gathered} (0,5) \\ y>4-x \\ 5>4-0 \\ 5>4 \\ \text{True} \end{gathered}`
`\begin{gathered} (-2,7) \\ y>4-x \\ 7>4-(-2) \\ 7>4+2 \\ 7>6 \\ \text{True} \end{gathered}`

Therefore, All the points are solution to the inequality.