math

A value is a solution for an inequality if when the value is substituted into the inequality, the inequality is true. For example, for the inequality 3x ≥ 12, the value 4 is a solution since when 4 is substituted for x, the inequality reads 12 ≥ 12, which is true. This is different from determining if a value is a solution to an equation. An equation can be true or false, so when the value is substituted for the variable, the whole equation must be true. For example, for the equation 3x = 12, the value 4 is a solution since when 4 is substituted for x, the equation reads 12 = 12, which is true. Sometimes the same value will be a solution to both an equation and an inequality, depending on the variables and values. For example, the value 4 is a solution to the equation 3x = 12 and to the inequality 3x ≥ 12. Here's an inequality: x < 10 The value 5 is potentially a solution to this inequality since when 5 is substituted for x, the inequality reads 5 < 10, which is true.