document.write( "Question 875644: Hello, my question says solve the following rational inequality: x-6/(x^2-49)>0, and it is asking me to state my answer using interval notation. I know that I might be using a union. \n" ); document.write( "
Algebra.Com's Answer #528378 by edjones(8007)![]() ![]() You can put this solution on YOUR website! (x-6)/(x^2-49)>0 \n" ); document.write( "(x-6)/((x+7)(x-7))>0 \n" ); document.write( "x cannot be 7 or -7. Division by zero not allowed so 7 and - 7 are intervals. \n" ); document.write( "x-6=0, x=6 so 6 is an interval. \n" ); document.write( "Now put a value for x above and below each of the intervals to see if the inequality is valid for the interval. \n" ); document.write( ". \n" ); document.write( "(-7,6) U (7, infinity) \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |