Question

Direction: Determine whether each ordered pairis a solution to the given inequality

Write YES if it is and NO if it is not.
An example is done for you
1.2x - 3y >5 NO a. (-1,0)
b. (2.1)
c. (6,2)
2x - 3y > 5
2(-1)-3(0) >5
2-05
-2 > 5
2. 3y + rs 12
c.(-1,-2)
b. (4,6)
a. (3.-2)
False
b. (7,5)
c. (3,-5)
a. (5.-3)
3. y < 3x - 15
Lesson Graphing a Linear Inequality in​

Answer 1

Explanation:

1).b). 2x - 3y > 5

For (2, 1),

2(2) - 3(1) > 5

1 > 5

False.

So the answer is NO.

c). For (6, 2),

2(6) - 3(2) > 5

12 - 6 > 5

6 > 5

True.

Therefore, the answer is YES.

2). a). 3y + x ≤ 12

For (3, -2),

3(-2) + 3 ≤ 12

-6 + 3 ≤ 12

-3 ≤ 12

True.

Therefore, answer is YES.

b). For (4, 6),

3(6) + 4 ≤ 12

18 + 4 ≤ 12

22 ≤ 12

False.

Therefore, answer is NO.

c). For (-1, -2),

3(-2) + (-1) ≤ 12

-6 - 1 ≤ 12

-7 ≤ 12

True.

Therefore, answer is YES.

3). a). y < 3x - 15

For (5, -3),

-3 < 3(5) - 15

-3 < 0

True.

Therefore, answer is YES.

b). For (7, 5),

5 < 3(7) - 5

5 < 21 - 5

5 < 16

True.

Therefore, answer is YES.

c). For (3, -5),

-5 < 3(3) - 5

-5 < 9 - 5

-5 < 4

True.

Therefore, answer is YES.