document.write( "Question 389671: Evaluate and graph
\n" ); document.write( "a. 3x+2(x+4)< 6
\n" ); document.write( "b. 3(x-1)-x >2x+1
\n" ); document.write( "c. -2x ≤10
\n" ); document.write( "d. -4(x+2) ≥-(2x=5)
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Algebra.Com's Answer #276199 by haileytucki(390)\"\" \"About 
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3x+2(x+4)<6\r
\n" ); document.write( "\n" ); document.write( "Multiply 2 by each term inside the parentheses.
\n" ); document.write( "3x+2x+8<6\r
\n" ); document.write( "\n" ); document.write( "Since 3x and 2x are like terms, add 2x to 3x to get 5x.
\n" ); document.write( "5x+8<6\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 subtracting 8 from both sides.
\n" ); document.write( "5x<-8+6\r
\n" ); document.write( "\n" ); document.write( "Add 6 to -8 to get -2.
\n" ); document.write( "5x<-2\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by 5.
\n" ); document.write( "(5x)/(5)<-(2)/(5)\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the inequality by canceling the common factors.
\n" ); document.write( "x<-(2)/(5)\r
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\n" ); document.write( "\n" ); document.write( "3(x-1)-x>2x+1\r
\n" ); document.write( "\n" ); document.write( "Multiply 3 by each term inside the parentheses.
\n" ); document.write( "3x-3-x>2x+1\r
\n" ); document.write( "\n" ); document.write( "Since 3x and -x are like terms, add -x to 3x to get 2x.
\n" ); document.write( "2x-3>2x+1\r
\n" ); document.write( "\n" ); document.write( "Since 2x contains the variable to solve for, move it to the left-hand side of the inequality by subtracting 2x from both sides.
\n" ); document.write( "2x-3-2x>1\r
\n" ); document.write( "\n" ); document.write( "Since 2x and -2x are like terms, add -2x to 2x to get 0.
\n" ); document.write( "0-3>1\r
\n" ); document.write( "\n" ); document.write( "Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
\n" ); document.write( "-3>1\r
\n" ); document.write( "\n" ); document.write( "Since -3<1, there are no solutions.
\n" ); document.write( "No Solution\r
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\n" ); document.write( "\n" ); document.write( "-2x<=10\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by -2.
\n" ); document.write( "-(2x)/(-2)>=(10)/(-2)\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the inequality by canceling the common factors.
\n" ); document.write( "x>=(10)/(-2)\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the inequality by simplifying each term.
\n" ); document.write( "x>=-5\r
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\n" ); document.write( "\n" ); document.write( "On the last problem, I need to make sure that is an equal sign on ≥-(2x=5),
\n" ); document.write( "it seems it sould be another inequality symbol.
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