document.write( "Question 430062: solve -1 < 4-5x/2 is less than or equal to 7 \n" ); document.write( "
Algebra.Com's Answer #298678 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! PLEASE PUT PARENTHASES AROUND THE EQUATION, WITHIN THE EQUATION. WITHOUT THEM, WE CANNOT DETERMINE HOW TO PROPERLY SET UP THE ORIGIONAL.\r \n" ); document.write( "\n" ); document.write( "-1<(4-5x)/(2)<=7\r \n" ); document.write( "\n" ); document.write( "Reorder the polynomial 4-5x alphabetically from left to right, starting with the highest order term. \n" ); document.write( "-1<(-5x+4)/(2)<=7\r \n" ); document.write( "\n" ); document.write( "Multiply each term in the inequality by 2. \n" ); document.write( "-1*2<(-5x+4)/(2)*2<=7*2\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by 2 to get -2. \n" ); document.write( "-2<(-5x+4)/(2)*2<=7*2\r \n" ); document.write( "\n" ); document.write( "Cancel the common factor of 2 from the denominator of the first expression and the numerator of the second expression. \n" ); document.write( "-2<(-5x+4)<=7*2\r \n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression -5x+4. \n" ); document.write( "-2<-5x+4<=7*2\r \n" ); document.write( "\n" ); document.write( "Multiply 7 by 2 to get 14. \n" ); document.write( "-2<-5x+4<=14\r \n" ); document.write( "\n" ); document.write( "Move all terms not containing x from the center section of the interval inequality. \n" ); document.write( "-2-4<-5x<=14-4\r \n" ); document.write( "\n" ); document.write( "Subtract 4 from -2 to get -6. \n" ); document.write( "-6<-5x<=14-4\r \n" ); document.write( "\n" ); document.write( "Subtract 4 from 14 to get 10. \n" ); document.write( "-6<-5x<=10\r \n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by -5. \n" ); document.write( "-(6)/(-5)>-(5x)/(-5)>=(10)/(-5)\r \n" ); document.write( "\n" ); document.write( "Move the minus sign from the denominator to the front of the expression. \n" ); document.write( "-(-(6)/(5))>-(5x)/(-5)>=(10)/(-5)\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by each term inside the parentheses. \n" ); document.write( "(6)/(5)>-(5x)/(-5)>=(10)/(-5)\r \n" ); document.write( "\n" ); document.write( "Move the minus sign from the denominator to the front of the expression. \n" ); document.write( "(6)/(5)>-(-(5x)/(5))>=(10)/(-5)\r \n" ); document.write( "\n" ); document.write( "Reduce the expression -(5x)/(5) by removing a factor of 5 from the numerator and denominator. \n" ); document.write( "(6)/(5)>-(-x)>=(10)/(-5)\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by each term inside the parentheses. \n" ); document.write( "(6)/(5)>x>=(10)/(-5)\r \n" ); document.write( "\n" ); document.write( "Move the minus sign from the denominator to the front of the expression. \n" ); document.write( "(6)/(5)>x>=-((10)/(5))\r \n" ); document.write( "\n" ); document.write( "Reduce the expression (10)/(5) by removing a factor of 5 from the numerator and denominator. \n" ); document.write( "(6)/(5)>x>=-(2)\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by the 2 inside the parentheses. \n" ); document.write( "(6)/(5)>x>=-2\r \n" ); document.write( "\n" ); document.write( "Rewrite the interval so that the left-hand value is less than the right-hand value. This is the correct way to write an interval solution. \n" ); document.write( "-2<=x<(6)/(5)\r \n" ); document.write( "\n" ); document.write( "Convert the solution to set notation. \n" ); document.write( "[-2,(6)/(5)) \n" ); document.write( " |