Question

Which ordered pair is included in the solution set to the following system?

y > x2 + 1
y < x2 – x + 1


(–3, 4)
(–2, 6)
(0, 2)
(2, 4)

Answer 1

The ordered pair is included in the solution set to the following system is (0,2)

Set of inequalities

Given the set of inequalities

y > x2 + 1

y < x2 – x + 1

Equate both expressions to have:

x^2 + 1 = x^2 - x +1

1 = -x + 1

x = 0

Substitute x = 0 into any of the function

y = x^2 + 1

y = 1

This shows that the ordered pair is included in the solution set to the following system is (0,2)

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