y> -2x - 11
from the list below.
• (-10, 0)
• (-7,3)
• (-5, 0)
• (0, -13)
To check if a point satisfies the inequality y > -2x - 11, we can substitute the x and y values into the inequality and see if it holds true.
Let's check each point from the list:
1. (-10, 0)
Substituting x = -10 and y = 0 into the inequality:
0 > -2(-10) - 11
0 > 20 - 11
0 > 9
Since 0 is not greater than 9, the point (-10, 0) does not satisfy the inequality.
2. (-7, 3)
Substituting x = -7 and y = 3 into the inequality:
3 > -2(-7) - 11
3 > 14 - 11
3 > 3
Since 3 is not greater than 3, the point (-7, 3) does not satisfy the inequality.
3. (-5, 0)
Substituting x = -5 and y = 0 into the inequality:
0 > -2(-5) - 11
0 > 10 - 11
0 > -1
Since 0 is greater than -1, the point (-5, 0) satisfies the inequality.
4. (0, -13)
Substituting x = 0 and y = -13 into the inequality:
-13 > -2(0) - 11
-13 > 0 - 11
-13 > -11
Since -13 is not greater than -11, the point (0, -13) does not satisfy the inequality.
Thus, the only point from the list that satisfies the inequality y > -2x - 11 is (-5, 0).