document.write( "Question 100231: solve the following inequality for x. Then, describe the one-dimentional graph that you would draw o represent the solution. (Indicate where the line would begin, which way it points, etc.) Show all steps.\r
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document.write( "-2(x+6)>x+4 \n" );
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Algebra.Com's Answer #73823 by ckaeser(6)![]() ![]() ![]() You can put this solution on YOUR website! -2(x+6)>x+4\r \n" ); document.write( "\n" ); document.write( "Multiply -2 by each term inside the parenthesis (x+6). \n" ); document.write( "(-2(x)-2(6))>x+4\r \n" ); document.write( "\n" ); document.write( "Complete the multiplication of -2 by each term inside the parenthesis. \n" ); document.write( "(-2x-12)>x+4\r \n" ); document.write( "\n" ); document.write( "Remove the parenthesis around the expression -2x-12. \n" ); document.write( "-2x-12>x+4\r \n" ); document.write( "\n" ); document.write( "Since x contains the variable to solve for, move it to the left-hand side of the inequality by subtracting x from both sides. \n" ); document.write( "-2x-12-x>4\r \n" ); document.write( "\n" ); document.write( "Since -2x and -x are like terms, subtract x from -2x to get -3x. \n" ); document.write( "-3x-12>4\r \n" ); document.write( "\n" ); document.write( "Since -12 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 12 to both sides. \n" ); document.write( "-3x>12+4\r \n" ); document.write( "\n" ); document.write( "Add 4 to 12 to get 16. \n" ); document.write( "-3x>16\r \n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by -3. \n" ); document.write( "-(3x)/(-3)<(16)/(-3)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the inequality by canceling the common terms. \n" ); document.write( "x<(16)/(-3)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the inequality by simplifying each term. \n" ); document.write( "x<-(16)/(3) \n" ); document.write( " |