The points (–2, –2), (–1, 1), (0, 1), and (2, 5) satisfy the inequality. While, the point (–3, 3) doesn't satisfy the inequality.
The given inequality is [tex]y<2x+3[/tex].
Refer to the image, to understand the graph of the given inequality.
Now, it is required to check whether the points satisfy the inequality or not.
Consider the point (–3, 3). Now, check if the point satisfies the inequality or not as,
[tex]y<2x+3\\3<(-3)\times2+3\\3<-3[/tex]
The above conclusion is wrong as 3 is greater than -3. So, the point doesn't satisfy the inequality.
Consider the point (–2, –2). Now, check if the point satisfies the inequality or not as,
[tex]y<2x+3\\-2<(2)\times(-2)+3\\-2<-1[/tex]
The above conclusion is right as -2 is less than -1. So, the point satisfies the inequality.
Consider the point (–1, 1). Now, check if the point satisfies the inequality or not as,
[tex]y<2x+3\\-1<(2)\times(1)+3\\-1<5[/tex]
The above conclusion is right as -1 is less than 5. So, the point satisfies the inequality.
Consider the point (0, 1). Now, check if the point satisfies the inequality or not as,
[tex]y<2x+3\\0<(2)\times(1)+3\\0<5[/tex]
The above conclusion is right as 0 is less than 5. So, the point satisfies the inequality.
Consider the point (2, 5). Now, check if the point satisfies the inequality or not as,
[tex]y<2x+3\\2<(2)\times(5)+3\\2<13[/tex]
The above conclusion is right as 2 is less than 13. So, the point satisfies the inequality.
Therefore, the points (–2, –2), (–1, 1), (0, 1), and (2, 5) satisfy the inequality.
For more details, refer to the link:
https://brainly.com/question/20383671
