Which of the following ordered pairs is a solution to the inequality y less than or equal to -2x + 8?
a. (0, -4)<<<<
b. (5, -1)
c. (7, 0)
d. (9, 1)
y </= -2x + 8
a. -4 </= 8 true
b. -1 </=-12 nope
c. 0 </= -14 nope
d. 1 </= -10 nope
1 is a
2 is b
To determine which of the given ordered pairs is a solution to the inequality y ≤ -2x + 8, we need to substitute the x and y values from each pair into the inequality and see if it holds true.
Let's start by plugging in the values from option a. (0, -4), where x = 0 and y = -4, into the inequality:
-4 ≤ -2(0) + 8
Simplifying the equation:
-4 ≤ 8
The inequality is indeed true, which means that the ordered pair (0, -4) is a solution to the inequality y ≤ -2x + 8. Therefore, option a is the correct answer.