Problem 77

Question

What is the solution set of an equation?

Step-by-Step Solution

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Answer

A solution set of an equation refers to the set of values that, when substituted into the equation, make the equation true. Or in other words, it's a set of all possible solutions of an equation.

1Step 1: Definition of Solution Set

A solution set of an equation refers to the set of values that, when substituted into the equation, make the equation true. In other words, for any given equation, the solution set comprises all the values for the variable(s) in the equation that satisfy the equation.

2Step 2: Example

For example, let's consider a simple equation, $x + 3 = 5$. The solution set of this equation is the value of $x$ that makes this equation true. By subtracting 3 from both sides, we find $x = 2$, so the solution set for this equation is \{2\}.

Problem 77

Problem 78

Other exercises in this chapter

Solve each inequality by first rewriting each one as an equivalent inequality without absolute value bars. Graph the solution set on a number line. Express the

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Problem 78

Solve each equation in Exercises $73-98$ by the method of your choice. $2 x^{2}=250$

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Problem 78

Solve each equation by the method of your choice. $$ \left(x^{2}-1\right)^{2}-2\left(x^{2}-1\right)=3 $$

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