# SOLUTION: how do I solve to get the inequality when: 2x+4> 1/3

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 Click here to see ALL problems on Inequalities Question 566608: how do I solve to get the inequality when: 2x+4> 1/3 Answer by Theo(3458)   (Show Source): You can put this solution on YOUR website!2x + 4 > 1/3 subtract 4 from both sides of the equation to get: 2x > 1/3 - 4 multiply 4 by 3/3 to get: 2x > 1/3 - 12/3 simplify to get: 2x > -11/3 divide both sides of the equation by 2 to get: x > -11/(3*2) simplify to get: x > -11/6 since this can't be simplified any further, that' your answer. confirm by substituting for x in your original equation. pick a value of x > -11/6 pick a value for x that is greater than -11/6. try -10/6 your original equation is: 2x + 4 > 1/3 substitute -10/6 for x to get: 2 * (-10/6) + 4 > 1/3 simplify to get: -20/6 + 4 > 1/3 multiply 4 by 6/6 to get: -20/6 + 24/6 > 1/3 combine like terms to get: 4/6 > 1/3 simplify to get: 2/3 > 1/3 since this equation is true, your value for x is probably good. to make a complete test, you would need to test out when x = -11/6 and when x < -11/6. both those tests should lead to a false equation (one that is not true). for example: when x = -11/6, the original equation of: 2x + 4 > 1/3 becomes: 2 * (-11/6) + 4 > 1/3 simplify to get: -22/6 + 4 > 1/3 multiply 4 by 6/6 to get: -22/6 + 24/6 > 1/3 combine like terms to get: 2/6 > 1/3 simplify to get: 1/3 > 1/3 this equation is false because 1/3 is equal to 1/3 and not greater than it. the value of x = -11/6 is not valid. this is correct because the solution to the equation said that x > -11/6, not x = to -11/6 and not x >= -11/6.