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QuizMultiple Choice

Solving Systems of Linear Inequalities — Quiz

Question 1 • Mathematics I

Which ordered pair makes both inequalities true? y is less than or equal to negative x plus 1 y is greater than x

Answer
A
negative 3 comma 5
B
negative 2 comma 2
C
0 comma negative 1
D
negative 1 comma negative 3

Explanation

For the ordered pair (−2, 2), substitute x = −2 and y = 2. The first inequality becomes 2 ≤ −(−2) + 1 = 3, which is true; the second becomes 2 > −2, which is also true. So (−2, 2), choice B, makes both inequalities true.

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