document.write( "Question 468489: 2. Solve the following inequality and write your answer using interval notation. Please show all your work.
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document.write( "3/x-7>5/2x+3 \n" );
document.write( "
Algebra.Com's Answer #322092 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Solve the following inequality and write your answer using interval notation. Please show all your work. 3/x-7>5/2x+3 \n" ); document.write( "... \n" ); document.write( "I will assume 5/2x is the same as 5x/2 \n" ); document.write( "3/x-7>5x/2+3 \n" ); document.write( "LCD:2x \n" ); document.write( "6-14x>5x^2+6x \n" ); document.write( "0>5x^2+20x-6 \n" ); document.write( "5x^2+20x-6<0 \n" ); document.write( ".. \n" ); document.write( "5x^2+20x-6=0 \n" ); document.write( "solve by quadradic formula \n" ); document.write( "x=[-20ħsqrt (20^2-4*5*-6)]/2*5 \n" ); document.write( "x=[-20ħ√520]/10 \n" ); document.write( "x=(-20ħ22.8)/10 \n" ); document.write( "x=-4.28 \n" ); document.write( "or \n" ); document.write( "x=.28 \n" ); document.write( ".. \n" ); document.write( "5x^2+20x-6<0 \n" ); document.write( "(x+4.28)(x-.28)<0 \n" ); document.write( "By interval notation: \n" ); document.write( "solution:(-4.28,.28) \n" ); document.write( " |