Determine whether each statement is true or false. -π ≥ - π

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Identify the inequality given: $-\pi \geq -\pi$.

Recall the meaning of the symbol $\geq$, which means "greater than or equal to."

Since both sides of the inequality are exactly the same value, $-\pi$ equals $-\pi$.

Because equality is included in the "greater than or equal to" relation, the statement $-\pi \geq -\pi$ is true.

Therefore, the inequality holds true because the two sides are equal.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Inequality Symbols and Their Meaning

Inequality symbols like ≥ (greater than or equal to) compare two values to determine their relative size. Understanding these symbols helps in deciding if one number is larger, smaller, or equal to another.

Properties of Negative Numbers on the Number Line

Negative numbers lie to the left of zero on the number line, and their order is reversed compared to positive numbers. For example, -π and - π represent the same value, and understanding their position helps in comparing them.

Equality and Equivalence of Expressions

Expressions like -π and - π are equivalent because they represent the same number. Recognizing when two expressions are equal is essential for evaluating true or false statements involving inequalities.

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