document.write( "Question 756456: If A is a subset of B and A is a subset of C, is B intersection C not equal to A? \n" ); document.write( "

Algebra.Com's Answer #460260 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"A\"$ is a subset of $\"B\"$ and $\"A\"$ is a subset of $\"C\"$ , is $\"B\"$ intersection $\"C\"$ not equal to $\"A\"$ \r
\n" ); document.write( "\n" ); document.write( "by definition:\r
\n" ); document.write( "\n" ); document.write( "If $\"A\"$ and $\"B\"$ are sets and every element of $\"A\"$ is also an element of $\"B\"$ , then:\r
\n" ); document.write( "\n" ); document.write( " $\"A\"$ is a subset of (or is included in) $\"B\"$ ,(means $\"B\"$ can have more elements then $\"A\"$ )\r
\n" ); document.write( "\n" ); document.write( "If $\"A\"$ and $\"C\"$ are sets and every element of $\"A\"$ is also an element of $\"C\"$ ,(means $\"C\"$ can have more elements then $\"A\"$ ) then:\r
\n" ); document.write( "\n" ); document.write( " $\"A\"$ is a subset of (or is included in) $\"C\"$ ,\r
\n" ); document.write( "\n" ); document.write( "intersection $\"C\"$ $\"is\"$ could be equal to $\"A\"$ if $\"B\"$ intersection $\"C\"$ has no more elements except elements of set $\"A\"$ \r
\n" ); document.write( "\n" ); document.write( "so, if there are any elements in $\"B\"$ intersection $\"C\"$ that are not elements of set $\"A\"$ , then $\"B\"$ intersection $\"C\"$ $\"not\"$ equal to $\"A\"$ \r
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