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Question 1 of 10
Select the point that is a solution to the system of inequalities.
y y>x^2-4

Question 1 Of 10 Select The Point That Is A Solution To The System Of Inequalities Y Ygtx24 class=

Sagot :

Estheridn

Answer:

a) (1,2)

Step-by-step explanation:

[tex]y < x^2 + 3\\y > x^2 - 4[/tex]

a.

[tex]2 < 1^2 + 3\\2 > 1^2 - 4[/tex]

[tex]2 < 1 + 3\\2 > 1 - 4[/tex]

[tex]2 < 4\\2 > -3[/tex]

Both equations are true

b.

[tex]0 < 4^2 + 3\\0 > 4^2 - 4[/tex]

[tex]0 < 16 + 3\\0 > 16 - 4[/tex]

[tex]0 < 19\\0 > 12[/tex]

Both equations are false

c.

[tex]-4 < -2^2 + 3\\-4 > -2^2 - 4[/tex]

[tex]-4 < 4 + 3\\-4 > 4 - 4[/tex]

[tex]-4 < 7\\-4 > 0[/tex]

Only one equation is true (-4 < 7)

d.

[tex]4 < 0^2 + 3\\4 > 0^2 - 4[/tex]

[tex]4 < 0 + 3\\4 > 0 - 4[/tex]

[tex]4 < 3\\4 > - 4[/tex]

Only one equation is true (4 > -4)

Therefore, our final answer is a) (1,2)

Hope this helps!

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