document.write( "Question 345401: Solve the inequality of (4x - 2)< x + 1 \n" ); document.write( "

Algebra.Com's Answer #246994 by haileytucki(390) $\"\"$ $\"About$

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(4x-2)\n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression 4x-2.
\n" ); document.write( "4x-2\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( "4x-2-x<1\r
\n" ); document.write( "\n" ); document.write( "Since 4x and -x are like terms, add -x to 4x to get 3x.
\n" ); document.write( "3x-2<1\r
\n" ); document.write( "\n" ); document.write( "Since -2 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 2 to both sides.
\n" ); document.write( "3x<2+1\r
\n" ); document.write( "\n" ); document.write( "Add 1 to 2 to get 3.
\n" ); document.write( "3x<3\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by 3.
\n" ); document.write( "(3x)/(3)<(3)/(3)\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the inequality by canceling the common factors.
\n" ); document.write( "x<(3)/(3)\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the inequality by simplifying each term.
\n" ); document.write( "x<1 \n" ); document.write( "

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