Find the solution for the following inequality:
6x + 8 < 2x + 16
Answer: x less than 2
Explanation:
An inequality is solved using the same method used in solving an equation. A solution for an inequality is usually the number that when substituted into the inequality will make the statement true.
In order to solve the above inequality we start with the same steps as if it were an equation by isolating the variable on one side and the number on the other as follows:
6x – 2x + 8 < 2x – 2x +16 (subtract 2x from each side)
4x + 8 < 16 4x + 8 – 8 < 16 – 8 (subtract 8 from each side) 4
x < 8 x < 8/4 (divide each side by 4)
x less than 2
Therefore the solutions for x are all the numbers that are less than 2 For additional information on inequalities, go to: Inequality Basic Rules
©Copyright 2007.Najwa S. Hirn. All rights reserved.
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