Which Of The Following Coordinates Of Points Belong To The Solution Set Of The Inequality Y<2x2+5x-1?, A.(-3,2), B.(-2,9), C.(1,6), D.(3,1)

Which Of The Following Coordinates Of Points Belong To The Solution Set Of The Inequality Y<2x2+5x-1?, A.(-3,2), B.(-2,9), C.(1,6), D.(3,1)

Which of the following coordinates of points belong to the solution set of the inequality y<2x2+5x-1?

A.(-3,2)
B.(-2,9)
C.(1,6)
D.(3,1)

Answer:

D. (3, 1)

Step-by-step explanation:

The solution set of inequality is the set of all solutions. Solving linear inequalities is very much like solving linear equations, with one important difference. When you multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Substitute the choices values for x and y to satisfy the equation. $y = 2x^{2} + 5x - 1$

A. (-3, 2)

$2 < 2(-3)^{2} + 5(-3) - 1$

$2 < 2(9) + 5(-3) - 1$

$2 < 18 - 15 - 1$

$2 < 2$

Therefore, choice A does not satisfy the equation.

B. (-2, 9)

$9 < 2(-2)^{2} +5(-2)-1$

$9 < 2(2)^{2} + 5(-2) - 1$

$9 < 8 - 11$

$9 < -3$

Therefore, choice B does not satisfy the equation.

C. (1, 6)

$6 < 2(1)^{2} + 5(1) - 1$

$6 < 2 + 5 - 1$

$6 < 6$

Therefore, choice C does not satisfy the equation.

D. (3, 1)

$1 < 2(3) + 5(3) - 1$

$1 < 18 + 15 - 1$

$1 < 32$

Therefore, choice D will make the equation correct.

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For more information for solving inequalities, please refer to this link:

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