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#mathematics
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#linear-inequalities
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How did you know that ordered pair satisfied the linear inequality in two variables?
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Nov 13, 2023

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Nov 13, 2023

To determine if an ordered pair satisfies a linear inequality in two variables, we substitute the values of the variables in the inequality and check if the resulting statement is true or false.

For example, let's say we have the linear inequality 2x + 3y < 10 and we want to check if the ordered pair (2, 1) satisfies this inequality.

We substitute the values of x and y into the inequality:

2(2) + 3(1) < 10

4 + 3 < 10

7 < 10

Since the resulting statement, 7 < 10, is true, we can conclude that the ordered pair (2, 1) satisfies the linear inequality 2x + 3y < 10.

For example, let's say we have the linear inequality 2x + 3y < 10 and we want to check if the ordered pair (2, 1) satisfies this inequality.

We substitute the values of x and y into the inequality:

2(2) + 3(1) < 10

4 + 3 < 10

7 < 10

Since the resulting statement, 7 < 10, is true, we can conclude that the ordered pair (2, 1) satisfies the linear inequality 2x + 3y < 10.