Asked by Ib
When 8 is divided to a certain number and the result is divided by 6 the ans is less than 1quarter. Find the range of the number
Answers
Answered by
Reiny
Translating what you said into English ....
When 8 is divided by a certain number and the result is then divided by 6 the answer is less than 1/4
let the certain number be x
(8÷x)÷6 < 1/4
8/(6x) < 1/4
6x/8 > 4
6x > 32
x > 32/6
x > 16/3
test:
take any number greater than 16/3
e.g. x = 10
8/10 = .8
.8/6 = .1333 which is less than .25
take any number less than 16/3
e.g. x = 4
8/4= 2
2/6 = .3333.. which is NOT less than .25
When 8 is divided by a certain number and the result is then divided by 6 the answer is less than 1/4
let the certain number be x
(8÷x)÷6 < 1/4
8/(6x) < 1/4
6x/8 > 4
6x > 32
x > 32/6
x > 16/3
test:
take any number greater than 16/3
e.g. x = 10
8/10 = .8
.8/6 = .1333 which is less than .25
take any number less than 16/3
e.g. x = 4
8/4= 2
2/6 = .3333.. which is NOT less than .25
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