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)\"\" \"About 
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))
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