6- 2x < = 12 or 7 + 2x < -11 a. -10 b. -8 c. -6 d. -4

a. -10

Step-by-step explanation:

6 - 2x <= 12 or 7 + 2x < -11

Lets look at the first one first

6 - 2x <= 12

Subtract 6 from each side

6-6 -2x <= 12-6

-2x <= 6

Divide by -2, remembering to flip the inequality

-2x/-2 <=6/-2

x >=-3

Now we solve the second one

7 + 2x < -11

Subtract 7 from each side

7-7 + 2x <-11-7

2x <-18

2x/2 <-18/2

x <-9

Answer x <-9  or x>= -3

-10 is  <-9 so it is a solution

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).