Answer:
Explanation:
We are given the following ordered pairs in the form (x, y):
- (-8, 82)
- (0, 0)
- (3, -14)
- (2, -12)
We are being asked to determine which pairs are a solution to or, in other words, produce a true statement when plugged into the inequality:
y ≥ -9x + 6
We can test each ordered pair by plugging in its x- and y-values:
(-8, 82)
x = -8, y = 82
↓↓↓
82 ≥ -9(-8) + 6
82 ≥ 72 + 6
82 ≥ 78 ✅
So, (-8, 82) is a solution to the inequality.
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(0, 0)
x = 0, y = 0
↓↓↓
0 ≥ -9(0) + 6
0 ≥ 6 ❌
So, (0, 0) is NOT a solution to the inequality.
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(3, -14)
x = 3, y = -14
↓↓↓
-14 ≥ -9(3) + 6
-14 ≥ -27 + 6
-14 ≥ -21 ✅
So, (3, -14) is a solution to the inequality.
Remember that if a number is less negative, then it is more positive (think about a number line).
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(2, -12)
x = 2, y = -12
↓↓↓
-12 ≥ -9(2) + 6
-12 ≥ -18 + 6
-12 ≥ -12 ✅
So, (2, -12) is a solution to the inequality.