Santiago has a points card for a movie theater. He receives 55 reward points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 160 points for a free movie ticket.

Write and solve an inequality which can be used to determine xx, the number of visits Santiago can make to earn his first free movie ticket.

12

Step-by-step explanation:

The number of visits that Jack can make to earn his first free movie ticket will be at least 12 visits

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:

ou would have 12 of each