Answer:

3) 2y ≤ -3x - 6

A. (-5,1)  YES

B. (2,-6)  YES

C. (-1,-4)  YES

D. (3,2)  NO

E. (-6,0) YES

4.) 7 < x + 3y

A. (1,1)  NO

B. (2,4)  YES

C. (-3,4.5)  YES

D. (0,-3)  NO

E. (6,3) YES

5.) -2x - 4y > 4

A. (-10,4)  NO

B. (2,-4)  YES

C. (-12,8)  NO

D. (0,2)  NO

E. (-6,0)​ YES

Step-by-step explanation:

3) 2y ≤ -3x - 6

A. (-5,1)

2(1) ≤ -3(-5) -6

2 ≤ 15 - 6

2 ≤ 9 YES

B. (2,-6)

2(-6) ≤ -3(2) -6

-12 ≤ -6 -6

-12 ≤ -12 YES

C. (-1,-4)

2(-4) ≤ -3(-1) -6

-8 ≤ 3 - 6

-8 ≤ -3 YES

D. (3,2)

2(2) ≤ -3(3) - 6

4 ≤ -9 - 6

4 ≤ -15 NO

E. (-6,0)

2(0) ≤ -3(-6) - 6

0 ≤ 18 - 6

0 ≤ 12 YES

4) 7 < x + 3y

A. (1,1)

7 < (1) + 3(1)

7 < 1 + 3

7 < 4 NO

B. (2,4)

7 < (2) + 3(4)

7 < 2 + 12

7 < 14 YES

C. (-3,4.5)

7 < (-3) + 3(4.5)

7 < -3 + 13.5

7 < 10.5 YES

D. (0,-3)

7 < (0) + 3(-3)

7 < 0 + -9

7 < -9 NO

E. (6,3)

7 < (6) + 3(3)

7 < 6 + 9

7 < 15 YES

5.) -2x - 4y > 4

A. (-10,4)

-2(-10) - 4(4) > 4

20 - 16 > 4

4 > 4 NO

B. (2,-4)

-2(2) - 4(-4) > 4

-4 + 16 > 4

12 > 4 YES

C. (-12,8)

-2(-12) - 4(8) > 4

24 - 32 > 4

-8 > 4 NO

D. (0,2)

-2(0) - 4(2) > 4

0 - 8 > 4

-8 > 4 NO

E. (-6,0)

-2(-6) - 4(0) > 4

12 - 0 > 4

12 > 4 YES

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