Select all values for y that belong to the solution set of the following compound inequality. −4y + 9 > 37 or 3y − 11 ≥ −17 select one or more: a. 4 b. 0 c. -2 d. -5 e. 6 f. -13

A. 4

B. 0

C. -2

E. 6

F. -13

Step-by-step explanation:

step 1

Solve the inequality A

we have

----> inequality A

Multiply by -1 both sides

Adds 9 both sides

Divide by 4 both sides

The solution of the inequality A is the interval (-∞,-7)

step 2

Solve the inequality B

we have

----> inequality B

Adds 11 both sides

Divide by 3 both sides

The solution of the inequality B is the interval [-2,∞)

step 3

Find the solution of the system of inequalities

inequality A or inequality B

The solution is

(-∞,-7) ∪ [-2,∞)

If a value of y is a solution of the compound inequality, then the value must lie on any of the two intervals of the solution

Verify all values

case A) 4

The value of y lie on the interval [-2,∞)

therefore

4 belong to the solution set

case B) 0

The value of y lie on the interval [-2,∞)

therefore

0 belong to the solution set

case C) -2

The value of y lie on the interval [-2,∞)

therefore

-2 belong to the solution set

case D) -5

The value of y not lie on the interval (-∞,-7) and not lie on the interval [-2,∞)

therefore

-5 belong to the solution set

case E) 6

The value of y lie on the interval [-2,∞)

therefore

6 belong to the solution set

case F) -13

The value of y lie on the interval (-∞,-7)

therefore

-13 belong to the solution set

5

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.