At silver gym membership is $40 per month, and personal training sessions are $20 each. in one month, how many personal training sessions would sarah have to buy to make the total cost at the two gyms equal?

2 personal training sessions

Step-by-step explanation:

If a personal training sessions is $20, that is 1/2 of the $40 at the Silver Gym. That means if you multiply the $20 by 2, you get the value of the membership which is $40.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

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y

=

−

2

find the upper bound of the range.

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y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: