Question
Which of the following ordered pairs is a solution to the system of inequalities given below? x+ylt 4 x^2+ylt 8 A (1,5) B (1,2) C (4,-1) D (-4,-1)
Solution
4
(316 Votos)
Denise Maria
Especialista · Tutor por 3 anos
Resposta
To determine which ordered pair is a solution to the system of inequalities, we need to substitute each pair into the inequalities and check if they satisfy both conditions.Let's start with option A:
Substituting
and
into the first inequality, we get:
(False)Since the first inequality is not satisfied, we can eliminate option A.Next, let's try option B:
Substituting
and
into the first inequality, we get:
(True)Now, let's substitute
and
into the second inequality:
(True)Since both inequalities are satisfied, option B is a solution to the system of inequalities.We can now check options C and D for completeness.Option C:
Substituting
and
into the first inequality, we get:
(True)Substituting
and
into the second inequality, we get:
(False)Since the second inequality is not satisfied, we can eliminate option C.Option D:
Substituting
and
into the first inequality, we get:
(True)Substituting
and
into the second inequality, we get:
(False)Since the second inequality is not satisfied, we can eliminate option D.Therefore, the correct answer is option B:
.