Joseph has $620 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $440.12.
He buys 2 bicycle reflectors for $12.86 each and a pair of bike gloves for $19.26.
He plans to spend some or all of the money he has left to buy new biking outfits for $53.96 each.

Write and solve an inequality which can be used to determine oo, the number of outfits Joseph can purchase while staying within his budget.

So our limit is the 620$ that he has to spend. We know for a fact that the bike costs about 427.57 dollars. 4  $11.38 reflectors are purchased as well as gloves for 31.41.  Now however many outfits he can purchase cannot exceed or go over his money limit of 620 so the variable (x) represents how many outfits he can buy without going over.

Step-by-step explanation:

n

Step-by-step explanation:

nn

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: