document.write( "Question 268938: 1.2x – (7 + x) < x \n" ); document.write( "

Algebra.Com's Answer #197072 by persian52(161) $\"\"$ $\"About$

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1.2x-(7+x)\n" ); document.write( "\n" ); document.write( "Reorder the polynomial 7+x alphabetically from left to right, starting with the highest order term.
\n" ); document.write( "1.2x-(x+7)\n" ); document.write( "\n" ); document.write( "Multiply -1 by each term inside the parentheses.
\n" ); document.write( "1.2x+(-x-7)\n" ); document.write( "\n" ); document.write( "Since 1.2x and -x are like terms, add -x to 1.2x to get 0.2x.
\n" ); document.write( "0.2x-7\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( "0.2x-7-x<0\r
\n" ); document.write( "\n" ); document.write( "Since 0.2x and -x are like terms, add -x to 0.2x to get -0.8x.
\n" ); document.write( "-0.8x-7<0\r
\n" ); document.write( "\n" ); document.write( "Since -7 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 7 to both sides.
\n" ); document.write( "-0.8x<7\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by -0.8.
\n" ); document.write( "-(0.8x)/(-0.8)>(7)/(-0.8)\r
\n" ); document.write( "\n" ); document.write( "Cancel the common factor of -0.8.
\n" ); document.write( "x>(7)/(-0.8)\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the inequality by simplifying each term.
\n" ); document.write( "x>-8.75 \n" ); document.write( "

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