Find a number so 56 divide n is greater than 1. But less than 7

Question

Find a number so 56 divide n is greater than 1. But less than 7

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Sophia 15 mins 2021-11-26T01:25:50+00:00 2 Answers 0

Answers ( )

    0
    2021-11-26T01:26:58+00:00

    Answer:

    6 < n < 56

    Step-by-step explanation:

    Let’s translate that into a symbolic relationship:

    1 < (56/n) < 7

    This produces two inequalities to be solved:  1 < (56/n) and (56/n) < 7.

    Dividing both sides of (56/n) < 7 by 7 results in (6/n) < 1

    which can be rewritten as 6 < n or n > 6.

    Multiplying both sides of 1 < (56/n) by n results in n < 56.

    There’s no one solution. ¬†Rather, the solution set is 6 < n < 56.

    0
    2021-11-26T01:27:08+00:00

    Answer:

    n = 9.33, 11.2, 14, 18.67, 28

    Step-by-step explanation:

    I’m assuming your problem is 1<56/n<7 and you are trying to find n.

    To do this, figure out what numbers are less than 7 but greater than 1.

    2, 3, 4, 5, and 6

    You need 56/n to equal any of the numbers listed above. Lets start with 2.

    2 = 56/n

    2n = 56/n x n

    2n = 56

    2n/2 = 56/2

    n = 28

    Now 3.

    3 = 56/n

    3n = 56/n x n

    3n = 56

    3n/3 = 56/3

    n = 18.67

    Now 4.

    4 = 56/n

    4n = 56/n x n

    4n = 56

    4n/4 = 56/4

    n = 14

    Now 5.

    5 = 56/n

    5n = 56/n x n

    5n = 56

    5n/5 = 56/5

    n = 11.2

    Now 6.

    6 = 56/n

    6n = 56/n x n

    6n = 56

    6n/6 = 56/6

    n = 9.33

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