document.write( "Question 261961: what is 2x+1>3x?\r
\n" ); document.write( "\n" ); document.write( "how do you do it and what is the awnser.
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Algebra.Com's Answer #193055 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\ 3x\">\r
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\n" ); document.write( "\n" ); document.write( "Is a rather handsome little single variable inequality. \r
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\n" ); document.write( "\n" ); document.write( "\"How you do it\" is really a function of what you want to do with it. I don't know what the \"awnser\" is. I don't know what \"awnser\" means. If you meant \"answer\" then your inequality doesn't have one, per se. What it has is a solution set that consists of a set of infinitely many real number values which, when substituted for the variable in the inequality, make the inequality a true statement.\r
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\n" ); document.write( "\n" ); document.write( "You can simplify the inequality and thereby derive a description of the values that are part of the solution set. If that is what you meant by \"do it\" in the sense of \"How do you do it\", then I may be able to help you:\r
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\n" ); document.write( "\n" ); document.write( "\ 3x\">\r
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\n" ); document.write( "\n" ); document.write( "Add to both sides of the inequality:\r
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\n" ); document.write( "\n" ); document.write( "\ 0\">\r
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\n" ); document.write( "\n" ); document.write( "Add -1 to both sides of the inequality:\r
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\n" ); document.write( "\n" ); document.write( "\ -1\">\r
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\n" ); document.write( "\n" ); document.write( "Multiply by -1. Remember that when you multiply an inequality by a negative number, you must reverse the sense of the inequality -- > becomes < and < becomes >.\r
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\n" ); document.write( "\n" ); document.write( "So our solution set is the set of all real numbers that are less than 1.\r
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\n" ); document.write( "\n" ); document.write( "Check the answer. Pick a number less than 1, let's choose 0. Substitute 0 into the original inequality:\r
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\n" ); document.write( "\n" ); document.write( "\ 3(0)\">\r
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\n" ); document.write( "\n" ); document.write( "which is to say:\r
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\n" ); document.write( "\n" ); document.write( "\ 0\">\r
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\n" ); document.write( "\n" ); document.write( "which is a true statement, and gives us a clue that we are on the right track.\r
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\n" ); document.write( "\n" ); document.write( "Now pick a number greater than 1. Let's try 2. Again, substitute:\r
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\n" ); document.write( "\n" ); document.write( "\ 3(2)\">\r
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\n" ); document.write( "\n" ); document.write( "which is to say:\r
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\n" ); document.write( "\n" ); document.write( "\ 6\">\r
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\n" ); document.write( "\n" ); document.write( "which is a false statement as it should be since we selected a value that is not in the solution set.\r
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\n" ); document.write( "\n" ); document.write( "And if you really want to make sure, pick 1 and substitute:\r
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\n" ); document.write( "\n" ); document.write( "\ 3(1)\">\r
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\n" ); document.write( "\n" ); document.write( "which is to say:\r
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\n" ); document.write( "\n" ); document.write( "\ 3\">\r
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\n" ); document.write( "\n" ); document.write( "which is also a false statement. 3 is equal to 3, not greater than 3.\r
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