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Which ordered pair is in this solution set for the following system of linear inequalities?

1.y<2x+2
2.y^2-x-1



User FreezY
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1 Answer

4 votes

Final answer:

The student's question contains an error, but focusing on the correct inequality 'y < 2x + 2', we determine that an example of an ordered pair in the solution set is (1, 3), because when x equals 1, y must be less than 4, and 3 satisfies this condition.

Step-by-step explanation:

There seems to be a mistake in the text of the original student's question regarding the system of linear inequalities. The second inequality should have an inequality sign for it to be a proper system; however, we will focus on the first inequality 'y < 2x + 2' which is correctly stated. To determine which ordered pair is a solution to this system, we must find an (x, y) pair that satisfies the condition that y is less than two times x plus two.

Looking at the Practice Test 4 Solutions 12.1 Linear Equations, it is clear that A, B, and C are all linear equations since they take the form y = mx + b, which defines a linear relationship. However, none of the practice test items directly relate to solving inequalities.

To find an ordered pair that satisfies the inequality 'y < 2x + 2', we can choose a value for x and then find a value for y that makes the inequality true. For example, if we choose x = 1, then 2 times 1 plus 2 equals 4. Therefore, any y-value less than 4 will satisfy the inequality when x equals 1. The ordered pair (1, 3) would be one such solution, as 3 is less than 4.

User Rboling
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