Determine if each ordered pair is a solution of the inequality.?

Question

1. 2y + 8 < -3x -7; ( -3, 0)
2. y less than or equal to 3x + 2; ( 3,10)
3. 1/2y - 2/3x greater than or equal to 3/4; (1, 1.5)

Answer 1

2y + 8 < -3x -7; ( -3, 0)
2(0) + 8 < -3(-3) - 7
8 < 9 - 7
8 < 2; (Not True!, so it is not a solution)


y less than or equal to 3x + 2; ( 3,10)
10 < or = 3(3) + 2
10 < or = 9 + 2
10 < or = 11 ( this is True, it is a solution)


1/2y - 2/3x greater than or equal to 3/4; (1, 1.5)
1/2 (1 1/2) - 2/3 (1) > or = 3/4
3/4 - 2/3 > or = 3/4
1/12 > or = 3/4 (Not True, not a solution)

Answer 2

1. Plug y=0, x=-3:

2*0 + 8 < -3*(-3) - 7 ?

8 < 9 - 7 ?

8 < 2 ?
False.

2. y=10, x=3

10 <= 3*3 + 2 ?

10 <= 11 ?
True

3. y=1.5 x=1

1/(2 * 1.5) - 2/(3 * 1) >= 3/4 ?
1/3 - 2/3 >= 3/4 ?

-1/3 >= 3/4 ?
False.