z + 9 <= 6

Question

a. z <= -3
b. z <= 3
c. z => 3
d. z => -3

Answer 1

a. z <= -3

Answer 2

y/3 => -5

a y <= 15
b y <= -8
c y => -15
d y => 15

Answer 3

To solve the inequality y/3 >= -5, we can follow these steps:

Step 1: Multiply both sides of the inequality by 3:
3 * (y/3) >= -5 * 3
y >= -15

So, the correct answer is:
c. y >= -15

Answer 4

-y/2 <= 3

a y <= 6
b y<= -6
c y => -6
d y => 6

Answer 5

To solve the inequality -y/2 <= 3, we can follow these steps:

Step 1: Multiply both sides of the inequality by 2 (if multiplying by a negative number, flip the inequality sign):
2 * (-y/2) >= 2 * 3
-y >= 6

Step 2: Multiply both sides of the inequality by -1 (if multiplying by a negative number, flip the inequality sign):
-1 * (-y) <= -1 * 6
y <= -6

So, the correct answer is:
b. y <= -6