document.write( "Question 160058: -2x <-8 and x-5 <5
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document.write( "please help \n" );
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Algebra.Com's Answer #118037 by midwood_trail(310) ![]() You can put this solution on YOUR website! -2x <-8 and x-5 <5 \n" ); document.write( " \n" ); document.write( "You did not say what exactly you want us to help you with.\r \n" ); document.write( "\n" ); document.write( "Do you want to solve for x?\r \n" ); document.write( "\n" ); document.write( "Do you want to graph the inequalities?\r \n" ); document.write( "\n" ); document.write( "I'll assume you want to solve for x.\r \n" ); document.write( "\n" ); document.write( "To do so, solve each inequality for x one at a time.\r \n" ); document.write( "\n" ); document.write( "-2x < -8....I'll do this guy first.\r \n" ); document.write( "\n" ); document.write( "Divide both sides by -2. Remember that when dividing or multiplying inequalities by a negative number, you must reverse the inequality sign.\r \n" ); document.write( "\n" ); document.write( "x > -8/-2\r \n" ); document.write( "\n" ); document.write( "x > 4\r \n" ); document.write( "\n" ); document.write( "Do you see how < became >? \r \n" ); document.write( "\n" ); document.write( "==========================\r \n" ); document.write( "\n" ); document.write( "We now solve the other guy.\r \n" ); document.write( "\n" ); document.write( "x - 5 < 5\r \n" ); document.write( "\n" ); document.write( "We add 5 to both sides of the inequality.\r \n" ); document.write( "\n" ); document.write( "x < 5 + 5\r \n" ); document.write( "\n" ); document.write( "x < 10\r \n" ); document.write( "\n" ); document.write( "We have two answers:\r \n" ); document.write( "\n" ); document.write( "x > 4 and x < 10\r \n" ); document.write( "\n" ); document.write( "What does this mean?\r \n" ); document.write( "\n" ); document.write( "It means that whatever the value of x is, it lies between 4 and 10.\r \n" ); document.write( "\n" ); document.write( "This is how we write it:\r \n" ); document.write( "\n" ); document.write( "4 < x < 10\r \n" ); document.write( "\n" ); document.write( "Did you follow?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |