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How Do You Check Your Work With An Inequality?

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Oddman answered
Try a value that satisfies the inequality, and one that doesn't--preferably at the boundary. Example   3x + 2 > 4   has solution   3x > 2   x > 2/3   We can pick a value x=1 and see if the inequality is satisfied.   3(1) + 2 > 4    (check for x=1. We know 1 > 2/3.)   3+2 > 4   5 > 4    (yes, the inequality is satisfied)   We can also pick the boundary value x=2/3 to see if the inequality is not satisfied.   3(2/3) + 2 > 4    (check for x=2/3. We know that 2/3 > 2/3 is false.)   2 + 2 > 4   4 > 4    (no, the inequality is not satisfied. We see that the left side is equal to the right side, as we expect to have happen at the boundary.)

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