OG: The table above shows the numbers of hours of television programs that Jane

[AbeNeedsAnswers]

The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs. No recorded program was viewed more than once. If h is the number of hours of recorded programs she had not yet viewed by the end of Friday, which of the following intervals represents all of the possible values of h?

A. 0 <= h <= 1
B. 1 <= h <= 2
C. 2 <= h <= 3
D. 0 <= h <= 2
E. 1 <= h <= 3

E

[Jay@ManhattanReview]

OG2021PS96.png

The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs. No recorded program was viewed more than once. If h is the number of hours of recorded programs she had not yet viewed by the end of Friday, which of the following intervals represents all of the possible values of h?

A. 0 <= h <= 1
B. 1 <= h <= 2
C. 2 <= h <= 3
D. 0 <= h <= 2
E. 1 <= h <= 3

E

Total recording hours = 4 + 2 = 6 hours

Min. no. of hours of viewing = 1 + 2 = 3 hours;
Max. no. of hours of viewing = 2 + 3 = 5 hours;

Min. value of h = 6 – 3 = 3 hours;
Max. value of h = 6 – 5 = 1 hour;

=> 1 ≤ h ≤ 3

The correct answer: E

Hope this helps!

-Jay
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