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You can put this solution on YOUR website!
2x + 4 > 1/3
\n" ); document.write( "subtract 4 from both sides of the equation to get:
\n" ); document.write( "2x > 1/3 - 4
\n" ); document.write( "multiply 4 by 3/3 to get:
\n" ); document.write( "2x > 1/3 - 12/3
\n" ); document.write( "simplify to get:
\n" ); document.write( "2x > -11/3
\n" ); document.write( "divide both sides of the equation by 2 to get:
\n" ); document.write( "x > -11/(3*2)
\n" ); document.write( "simplify to get:
\n" ); document.write( "x > -11/6
\n" ); document.write( "since this can't be simplified any further, that' your answer.
\n" ); document.write( "confirm by substituting for x in your original equation.
\n" ); document.write( "pick a value of x > -11/6
\n" ); document.write( "pick a value for x that is greater than -11/6.
\n" ); document.write( "try -10/6
\n" ); document.write( "your original equation is:
\n" ); document.write( "2x + 4 > 1/3
\n" ); document.write( "substitute -10/6 for x to get:
\n" ); document.write( "2 * (-10/6) + 4 > 1/3
\n" ); document.write( "simplify to get:
\n" ); document.write( "-20/6 + 4 > 1/3
\n" ); document.write( "multiply 4 by 6/6 to get:
\n" ); document.write( "-20/6 + 24/6 > 1/3
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "4/6 > 1/3
\n" ); document.write( "simplify to get:
\n" ); document.write( "2/3 > 1/3
\n" ); document.write( "since this equation is true, your value for x is probably good.
\n" ); document.write( "to make a complete test, you would need to test out when x = -11/6 and when x < -11/6.
\n" ); document.write( "both those tests should lead to a false equation (one that is not true).
\n" ); document.write( "for example:
\n" ); document.write( "when x = -11/6, the original equation of:
\n" ); document.write( "2x + 4 > 1/3 becomes:
\n" ); document.write( "2 * (-11/6) + 4 > 1/3
\n" ); document.write( "simplify to get:
\n" ); document.write( "-22/6 + 4 > 1/3
\n" ); document.write( "multiply 4 by 6/6 to get:
\n" ); document.write( "-22/6 + 24/6 > 1/3
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "2/6 > 1/3
\n" ); document.write( "simplify to get:
\n" ); document.write( "1/3 > 1/3
\n" ); document.write( "this equation is false because 1/3 is equal to 1/3 and not greater than it.
\n" ); document.write( "the value of x = -11/6 is not valid.
\n" ); document.write( "this is correct because the solution to the equation said that x > -11/6, not x = to -11/6 and not x >= -11/6.\r
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