document.write( "Question 291013: -5(X+3) < -5X+1 i Get stuck because I can't solv3e for x since there is -5x on both sides. \n" ); document.write( "
Algebra.Com's Answer #210551 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"-5%28x%2B3%29%3C-5x%2B1\" Start with the given inequality.\r
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\n" ); document.write( "\n" ); document.write( "\"-5x-15%3C-5x%2B1\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"-5x%3C-5x%2B1%2B15\" Add \"15\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-5x%2B5x%3C1%2B15\" Add \"5x\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"0x%3C1%2B15\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"0x%3C16\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"0%3C16\" Simplify (ie 0x=0)\r
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\n" ); document.write( "\n" ); document.write( "Since the inequality \"0%3C16\" is ALWAYS true, regardless of the value of 'x', this means that ANY value of 'x' will satisfy the original inequality.\r
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\n" ); document.write( "\n" ); document.write( "So there are an infinite number of solutions. Unfortunately, there are many classes of inequalities that have an \"infinite number of solutions\", but in this case, what I mean by \"infinite number of solutions\" is that any real number will work.
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