# Real Number Pairs $(p,\,q)$ Satisfying Inequality

• MHB
• anemone

## 2. How do you determine if a given pair of real numbers satisfies an inequality?

To determine if a given pair of real numbers satisfies an inequality, you simply substitute the values of p and q into the inequality and solve for the statement. If the statement is true, then the pair of numbers satisfies the inequality. If the statement is false, then the pair of numbers does not satisfy the inequality.

## 3. Can there be more than one pair of real numbers that satisfy an inequality?

Yes, there can be more than one pair of real numbers that satisfy an inequality. In fact, there can be an infinite number of pairs that satisfy a given inequality, as long as the values of p and q satisfy the statement.

## 4. What is the significance of real number pairs satisfying inequality in mathematics?

The significance of real number pairs satisfying inequality in mathematics is that it allows us to compare and contrast different values and determine their relationship to each other. This is especially useful in solving equations and inequalities, as well as in real-world applications such as economics and physics.

## 5. Can real number pairs satisfying inequality be graphed on a number line?

Yes, real number pairs satisfying inequality can be graphed on a number line. The number line can be used to represent the values of p and q, and the inequality statement can be represented by a shaded region on the number line. This allows us to visually see the values that satisfy the inequality and those that do not.

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