document.write( "Question 345403: 30 < 6(x - 3) < 60 \n" ); document.write( "

Algebra.Com's Answer #246996 by haileytucki(390) $\"\"$ $\"About$

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30<6(x-3)<60\r
\n" ); document.write( "\n" ); document.write( "Multiply 6 by each term inside the parentheses.
\n" ); document.write( "30<6x-18<60\r
\n" ); document.write( "\n" ); document.write( "Move all terms not containing x from the center section of the interval inequality.
\n" ); document.write( "30+18<6x<60+18\r
\n" ); document.write( "\n" ); document.write( "Add 18 to 30 to get 48.
\n" ); document.write( "48<6x<60+18\r
\n" ); document.write( "\n" ); document.write( "Add 18 to 60 to get 78.
\n" ); document.write( "48<6x<78\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by 6.
\n" ); document.write( "(48)/(6)<(6x)/(6)<(78)/(6)\r
\n" ); document.write( "\n" ); document.write( "Reduce the expression (48)/(6) by removing a factor of 6 from the numerator and denominator.
\n" ); document.write( "8<(6x)/(6)<(78)/(6)\r
\n" ); document.write( "\n" ); document.write( "Reduce the expression (6x)/(6) by removing a factor of 6 from the numerator and denominator.
\n" ); document.write( "8\n" ); document.write( "\n" ); document.write( "Reduce the expression (78)/(6) by removing a factor of 6 from the numerator and denominator.
\n" ); document.write( "8\n" ); document.write( "\n" ); document.write( "Convert the solution to set notation.
\n" ); document.write( "(8,13) \n" ); document.write( "

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