document.write( "Question 323569: How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation with an inequality sign, is there ever a time when the same value will be a solution to both the equation and the inequality? \n" ); document.write( "
Algebra.Com's Answer #231547 by Theo(13342)![]() ![]() You can put this solution on YOUR website! It's the same thing as determining if a value is a solution to an equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If your equation is x + 5 > 7 and you solve it to get x > 2, then any value of x > 2 should be a solution to the equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The only time when the same value is a solution to both the equality and the inequality is if the inequality is expressed as x+5 >= 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then the solution to this equation is x >= 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 2 solves the equality part of this equation. \n" ); document.write( "x > 2 solves the inequality part of this equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the equation is x > or x < then x = cannot be a solution to the pure inequality.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'm presuming you are asking if:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+5 > 7 gets x > 2 which is valid.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+5 = 7 gets x > 2 as well?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer has to be no.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |