Answer:
(2, 5)
Explanation:
You want the ordered pair that is a solution to y ≤ 4x -3 from those on the list:
- (1, 4)
- (1, 5)
- (-2, 5)
- (2, 5)
Graph
The attachment shows a graph of the inequality, along with the offered solution points. The only solution among those shown is (2, 5). That solution lies on the boundary line. The "≤" symbol means the boundary line is included in the solution set.
Calculator
We can use a calculator to check the solutions, too. Rearranging, we have ...
4x -3 -y ≥ 0
The calculator in the second attachment is able to make this calculation using the list of x-values and the list of y-values. The solution list only has one number that is not less than zero. That corresponds to (x, y) = (2, 5).
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Additional comment
We like to avoid having to enter the same equation over and over with different data. That is why we have chosen the solution methods here. A spreadsheet can repeat the calculation and comparison for you, too.
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