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  Mark the lower tick marks with hour numbers; see what hour corresponds to 2/3 mile

Step-by-step explanation:

The upper number line is marked off in 1/3 mile increments.

The tick marks on the lower line divide the unit distance into 6 parts, instead of 3, so each mark on the lower line corresponds to 1/6 mile.

The problem statement tells you the completion rate is 1/6 mile per hour, so we can number the lower tick marks 0, 1, 2, 3, 4, 5, 6 hours, leaving the marks on the upper number line at 1/3 mile, 2/3 mile, and 1 mile.

Then the lower tick mark we have labeled 4 hours will correspond to the upper tick mark labeled 2/3 mile.

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To solve the problem using number lines, mark the number lines with values that correspond. Extend the numbering as required to answer the question asked.

x = 25/2304

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.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: