Question

Which of these ordered pairs is a solution to the linear inequality y> 3x + 2? (-2,-7)
(-1,-5)
(2,8)
(2,9)

Answer 1

Answer:

(2, 9)

Step-by-step explanation:

Put the coordinates of the points to the inequality and check:

y > 3x + 2

for (-2, -7) → x = -2, y = -7

-7 > 3(-2) + 2

-7 > -6 + 2

-7 > -4         FALSE

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for (-1, -5) → x = -1, y = -5

-5 > 3(-1) + 2

-5 > -3 + 2

-5 > -1      FALSE

==========================

for (2, 8) → x = 2, y = 8

8 > 3(2) + 2

8 > 6 + 2

8 > 8       FALSE

===========================

for (2, 9) → x = 2, y = 9

9 > 3(2) + 2

9 > 6 + 2

9 > 8       TRUE