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Which ordered pairs are in the solution set of the system of linear inequalities?

Which ordered pairs are in the solution set of the system of linear inequalities?-example-1

1 Answer

5 votes

Answer:

The correct answer is the first option: (5, -2) (3, 1) (-4, 2)

Explanation:

Given the following systems of linear inequalities:

y ≥ -1/2x and y < 1/2x + 1:

Plugging in the values of (5, -2) (3, 1) (-4, 2) into the given systems of linear inequalities provides a true statement:

y ≥ -1/2x:

(5, -2): y ≥ -1/2x

-2 ≥ -1/2(5)

-2 ≥ -2.5 True statement.

(5, -2): y < 1/2x + 1

-2 < 1/2(5) + 1

-2 < 3.5 True statement.

(3, 1): y ≥ -1/2x

3 ≥ -1/2( 1 )

3 ≥ -1/2 True statement.

(3, 1): y < 1/2x + 1

1 < 1/2(3) + 1

1 < 2.5 True statement.

(-4, 2): y ≥ -1/2x

2 ≥ -1/2(-4)

2 ≥ 2 True statement.

(-4, 2): y < 1/2x + 1

2 < 1/2(-4) + 1

2 < -1 True statement.

Therefore, (5, -2) (3, 1) (-4, 2) are the solutions to the systems of linear inequalities.

User Robert Kearns
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