Solution Set
The set of all solutions to a system
A solution set is the set of values that satisfy a given equation or inequality. In the case of an equation, the solution set is the set of all values of the variable(s) that make the equation true. For example, the solution set for the equation 2x + 3 = 9 would be {3}, since the only value of x that satisfies the equation is 3.
In the case of an inequality, the solution set is the set of all values of the variable(s) that make the inequality true. For example, the solution set for the inequality x + 2 < 7 would be (-∞, 5), since all values of x less than 5 make the inequality true. It is important to note that some equations or inequalities may have multiple values that satisfy them, and that the solution set may be expressed using various notations, such as interval notation or set-builder notation. Overall, understanding the concept of a solution set is crucial in solving mathematical problems involving equations and inequalities.
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