z + 9 <= 6
a. z <= -3
b. z <= 3
c. z => 3
d. z => -3
a. z <= -3
To solve the inequality z + 9 <= 6, we can follow these steps:
Step 1: Subtract 9 from both sides of the inequality:
(z + 9) - 9 <= 6 - 9
Simplifying that, we get:
z <= -3
So, the correct answer is:
a. z <= -3
To solve the inequality z + 9 <= 6, we need to isolate the variable z.
Step 1: Subtract 9 from both sides of the inequality:
z + 9 - 9 <= 6 - 9
z <= -3
Therefore, the answer is z <= -3.
Option a states z <= -3, which matches our solution.
So, the correct answer is a. z <= -3.
y/3 => -5
a y <= 15
b y <= -8
c y => -15
d y => 15
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
-y/2 <= 3
a y <= 6
b y<= -6
c y => -6
d y => 6
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