The point (0, - 2) is a solution of the given inequality y ≤ 4x + 5.
What is an in equality?
"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions."
The given inequality is:
y ≤ 4x + 5
1. For x = 0, y = 10
10 ≤ (4 × 0 + 5)
⇒ 10 ≤ 5, is not true.
Hence, point (0, 10) is not a solution of y ≤ 4x + 5.
2. For x = - 6, y = 4
4 ≤ (4 × (- 6) + 5)
⇒ 4 ≤ - 19, is not true.
Hence, point (- 6, 4) is not a solution y ≤ 4x + 5.
3. For x = 0, y = - 2
- 2 ≤ (4 × 0 + 5)
⇒ - 2 ≤ 5, is true.
Hence, point (0, - 2) is a solution y ≤ 4x + 5.
4. For x = - 4,
- 4 ≤ (4 × (- 4) + 5)
⇒ - 4 ≤ -11, is not true.
Hence, point (0, 10) is not a solution of y ≤ 4x + 5.
Learn more about an inequality here: https://brainly.com/question/12201666
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