Ateacher asked her students to use rounding to estimate if the sum of the problem below is closer to 4,000 or 5,000. 496+1,404+2,695+489= one student replied that she thinks the sum is closer to 4,000. she used the estimation shown below to support her reasoning. 496+1,404+2,605+489=

496+1404+2695+489=5084

Step-by-step explanation:

5084 is closer to 5,000 than it is to 4000. 5084 is only 84 more than 5000, but its 1084 away from 4000

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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: