I am thinking of a number. If I divide the number by 6, I have a remainder of 4. If I divide the number by 8, I have a remainder of 6. What is the smallest possible number?

Answer 1

22

the number #-:6 -># remainder of 4
So: #"something "xx6+"remainder of 4 = the number"#
#2xx6=12" "+4 = 16 # #color(red)(3xx6=18" "+4= 22)# #4xx6=24" "+4=28# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ the number #-:8 -># remainder of 6
So: #"something "xx8+"remainder of 6 = the number"#
#color(red)(2xx8" "+6 = 22)# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

22 is the lowest number.

It is not good practice to use the word "smallest," as it leads to mathematical problems.

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Answer 2

The smallest possible number is 22.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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