The solution of an inequality is any number that makes the inequality true. For example, 5 is a solution of the inequality x < 6 since 5 is smaller than 6 and -4 is also a solution of x < 6 since -4 is smaller than 6.
In fact, the solutions of the inequality x < 6 are all numbers that are smaller than 6.
Example #1
Find a solution of x + 2 < 5
Subtract 2 from each side of the inequality
x + 2 - 2 < 5 - 2
x < 3
A solution of x < 3 is -4
Example #2
Find a solution of 3x - 1 > 5
Add 1 to each side of the inequality
3x - 1 + 1 > 5 + 1
3x > 6
Divide each side by 3
3x / 3 > 6 / 3
x > 2
A solution x > 2 is 10
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