document.write( "Question 7671: how do I solve x/2<4 { 1/4, 1/2, 1,2,3,5,8} I don't understand how to put a fraction as a numerater of a fraction.Thank You!! \n" ); document.write( "

Algebra.Com's Answer #4225 by glabow(165) $\"\"$ $\"About$

You can put this solution on YOUR website!
Funny thing, you have the numerator and denominator of the fraction as fractions already! We just get lazy and don't write the /1 part.
\n" ); document.write( "Your original inequality is $\"%28%28x%2F1%29%2F%282%2F1%29%29%3C4%2F1\"$
\n" ); document.write( "When x is 1/4, which was one of the set of numbers you were to check, what you have on the left side is 1/4 divided by 2. Can you divide 1/4 into two parts? If you say it is 1/8, you are correct.
\n" ); document.write( "Division is actually multiplication by the inverse of the divisor. So you want to multiply 1/4 by the inverse of 2/1, which is 1/2 (why?).
\n" ); document.write( "One half of 1/4 is 1/8.
\n" ); document.write( "Anyway, 1/8 is less than 4, so 1/4 is in the domain of the inequality.
\n" ); document.write( "The same process is done for the other numbers.
\n" ); document.write( "Just to jump ahead, look at $\"%288%2F1%29%2F%282%2F1%29\"$ which is $\"%288%2F1%29%281%2F2%29\"$ which is 4. 4 is not less than 4 (they are equal) so 8 is not in the domain of the inequality.
\n" ); document.write( "Now try some of the others. \n" ); document.write( "

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