document.write( "Question 156357This question is from textbook Algebra structure and method book 1
\n" ); document.write( ": can you please help me solve: ((([x-4]>3))) \n" ); document.write( "
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absolute value of (x-4) > 3\r
\n" ); document.write( "\n" ); document.write( "if x > 7 then x-4 > 3 so that satisfies the equation because the absolute value of a positive number is the positive number.\r
\n" ); document.write( "\n" ); document.write( "if x < 1 then x-4 < -3 which makes the absolute value > 3 since the absolute value of a negative number is a positive number of the same value.\r
\n" ); document.write( "\n" ); document.write( "testing 1 <= x <= 7 yields the following:\r
\n" ); document.write( "\n" ); document.write( "if x = 1 then x - 4 = -3 then absolute value = + 3 which is not > 3.
\n" ); document.write( "if x = 2 then x - 4 = -2 then absolute value = + 2 which is not > 3.
\n" ); document.write( "if x = 3 then x - 4 = -2 etc.
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\n" ); document.write( "if x = 6 then x - 4 = 2 which is not > 3.
\n" ); document.write( "if x = 7 then x - 4 = 3 which is not > 3.\r
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