TRUE OR FALSE (Justify your answer. If the statement is false, modify the statement to make it true): If 4b = 0 then, b = 0

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True or False: If 4b=0 then b=0.

This statement is true, if we are talking about the field of real (or complex) numbers with the normal operations of addition and multiplication. We can appeal to the zero-product property.

However, in general this statement is false. For example, `4*3-=0(mod6)` while 3...

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True or False: If 4b=0 then b=0.

This statement is true, if we are talking about the field of real (or complex) numbers with the normal operations of addition and multiplication. We can appeal to the zero-product property.

However, in general this statement is false. For example, `4*3-=0(mod6)` while 3 is certainly not zero. Thus you must be sure that you are working in a domain to make the statement true.

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The statement is true.

If `4b = 0`

Then we can divide by a non zero number which is 4.

`(4b)/4 = 0/4`

`b = 0`

 

Approved by eNotes Editorial Team