document.write( "Question 474907: How many integers from -8000 to 8000 are divisible by 4?\r
\n" ); document.write( "\n" ); document.write( "Please explain how I could approach and solve this, thanks! \n" ); document.write( "

Algebra.Com's Answer #325653 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!
Count the numbers in the set {-8000, -7996, -7992, ..., 8000}. Obviously we are not going to do this by hand so what we can do is make transformations to the set by adding 8004 to each element:\r
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\n" ); document.write( "\n" ); document.write( "|{-8000, -7996, ..., 8000}| = |{4, 8, ..., 16004}| (here |S| denotes the number of elements in set S).\r
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\n" ); document.write( "\n" ); document.write( "We can divide everything by 4.\r
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\n" ); document.write( "\n" ); document.write( "|{4, 8, ..., 16004}| = |{1, 2, ..., 4001}|\r
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\n" ); document.write( "\n" ); document.write( "There are 4001 numbers between -8000 and 8000 inclusive that are divisible by 4. \n" ); document.write( "

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