document.write( "Question 341756: Good evening. I am taking a college level business calculus class. We are currently reviewing algebra. I am stuck on one problem. It is:\r
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document.write( "A-5
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document.write( "I know to take the -1 times A + 2 to get A - 5 < A + 2 and I know to take the +2 and subtract it from A - 5 to get A - 5 - 2, but what happens to the A on the right side. Is it not supposed to be a 0? I am really confused and lost and, therefore, unable to continue because the rest of this section contains similar problems. Please help me figure this problem out. \r
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Algebra.Com's Answer #244679 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A-5 \n" ); document.write( "---- < -1 \n" ); document.write( "A+2 \n" ); document.write( "--------------------- \n" ); document.write( "The boundary of the inequality is (A-5)/(A+2) = -1 \n" ); document.write( "------------------- \n" ); document.write( "Since the denominator cannot be zero, A cannot be -2. \n" ); document.write( "--- \n" ); document.write( "The numerator cannot be zero so A cannot be 5 \n" ); document.write( "------------------------------- \n" ); document.write( "To solve the inequality: \n" ); document.write( "1: Draw a number line \n" ); document.write( "2: Plot the values A = -2 and A = 5 \n" ); document.write( "3: Check a test value from each of the resulting 3 intervals \n" ); document.write( "to see where the solutions are for the inequality. \n" ); document.write( "---- \n" ); document.write( "A-5 \n" ); document.write( "---- < -1 \n" ); document.write( "A+2\r \n" ); document.write( "\n" ); document.write( "Check A = -10; (-10-5)/(-10+2) < -1, false so no solutions in (-inf,-2) \n" ); document.write( "Check A = 0; (0-5)/(0+2)< -1, true so solutions in (-2,5) \n" ); document.write( "Check A = 10; (10-5)/(10+2) < -1, false so no solutions in (5,+inf) \n" ); document.write( "==== \n" ); document.write( "Final solution: -2< A < 5 \n" ); document.write( "============ \n" ); document.write( "Graph: \n" ); document.write( " \n" ); document.write( "============ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |