document.write( "Question 398646: Solve the inequality and enter answer in interval notation. For example, your answer may look like (-40,inf)
\n" );
document.write( "19/(x+2)>=5 \n" );
document.write( "
Algebra.Com's Answer #282402 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve the inequality and enter answer in interval notation. For example, your answer may look like (-40,inf) \n" ); document.write( "19/(x+2)>=5 \n" ); document.write( "---- \n" ); document.write( "1st: x cannot be -2 \n" ); document.write( "----- \n" ); document.write( "2nd: solve the equality: \n" ); document.write( "19/(x+2) = 5 \n" ); document.write( "19/5 = x+2 \n" ); document.write( "x = (19/5)-(10/5) \n" ); document.write( "x = 9/5 \n" ); document.write( "------- \n" ); document.write( "Draw a number line and plot x = -2 and x = (9/5) \n" ); document.write( "--- \n" ); document.write( "Check values in each of the resulting intervals to \n" ); document.write( "see where solutions for the inequality lie. \n" ); document.write( "--- \n" ); document.write( "19/(x+2)>5 \n" ); document.write( "Let x = -10; you get 19/-8> 5; false \n" ); document.write( "--- \n" ); document.write( "Let x = 0; you get 19/2 > 5 ; true so solutions in (-2,9/5) \n" ); document.write( "--- \n" ); document.write( "Let x = 10; you get 19/12 > 5 ; false \n" ); document.write( "---- \n" ); document.write( "Total solution set for the equality and the inequality; \n" ); document.write( "(-2,9/5] \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |