document.write( "Question 502725: -2(x+4)>6x-4 \n" ); document.write( "
Algebra.Com's Answer #338924 by persian52(161)![]() ![]() You can put this solution on YOUR website! -2(x+4)>6x-4\r \n" ); document.write( "\n" ); document.write( "Multiply -2 by each term inside the parentheses (x+4). \n" ); document.write( "(-2(x)-2(4))>6x-4\r \n" ); document.write( "\n" ); document.write( "Multiply -2 by the x inside the parentheses. \n" ); document.write( "(-2*x-2(4))>6x-4\r \n" ); document.write( "\n" ); document.write( "Multiply -2 by x to get -2x. \n" ); document.write( "(-2x-2(4))>6x-4\r \n" ); document.write( "\n" ); document.write( "Multiply -2 by the 4 inside the parentheses. \n" ); document.write( "(-2x-2*4)>6x-4\r \n" ); document.write( "\n" ); document.write( "Multiply -2 by 4 to get -8. \n" ); document.write( "(-2x-8)>6x-4\r \n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression -2x-8. \n" ); document.write( "-2x-8>6x-4\r \n" ); document.write( "\n" ); document.write( "Since 6x contains the variable to solve for, move it to the left-hand side of the inequality by subtracting 6x from both sides. \n" ); document.write( "-2x-8-6x>-4\r \n" ); document.write( "\n" ); document.write( "According to the distributive property, for any numbers a, b, and c, a(b+c)=ab+ac and (b+c)a=ba+ca. Here, x is a factor of both -2x and -6x. \n" ); document.write( "(-2-6)x-8>-4\r \n" ); document.write( "\n" ); document.write( "Subtract 6 from -2 to get -8. \n" ); document.write( "(-8)x-8>-4\r \n" ); document.write( "\n" ); document.write( "Remove the parentheses. \n" ); document.write( "-8x-8>-4\r \n" ); document.write( "\n" ); document.write( "Since -8 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 8 to both sides. \n" ); document.write( "-8x>8-4\r \n" ); document.write( "\n" ); document.write( "Subtract 4 from 8 to get 4. \n" ); document.write( "-8x>4\r \n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by -8. \n" ); document.write( "-(8x)/(-8)<(4)/(-8)\r \n" ); document.write( "\n" ); document.write( "Move the minus sign from the denominator to the front of the expression. \n" ); document.write( "-(-(8x)/(8))<(4)/(-8)\r \n" ); document.write( "\n" ); document.write( "Cancel the common factor of 8 in -(8x)/(8). \n" ); document.write( "-(-( \n" ); document.write( "\n" ); document.write( "Remove the common factors that were cancelled out. \n" ); document.write( "-(-x)<(4)/(-8)\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by the -x inside the parentheses. \n" ); document.write( "x<(4)/(-8)\r \n" ); document.write( "\n" ); document.write( "Move the minus sign from the denominator to the front of the expression. \n" ); document.write( "x<-((4)/(8))\r \n" ); document.write( "\n" ); document.write( "Cancel the common factor of 4 in (4)/(8). \n" ); document.write( "x<-(( \n" ); document.write( "\n" ); document.write( "Remove the common factors that were cancelled out. \n" ); document.write( "x<-((1)/(2))\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by the (1)/(2) inside the parentheses. \n" ); document.write( "x<-(1)/(2) |