Determine whether each statement is true or false. -13 ≤ -2

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Identify the inequality given: $-13 \leq -2$.

Recall that the symbol $\leq$ means "less than or equal to." So the statement says "-13 is less than or equal to -2."

Compare the two numbers on the number line: -13 is to the left of -2, which means -13 is indeed less than -2.

Since -13 is less than -2, the inequality $-13 \leq -2$ is true.

Therefore, the statement is true because the inequality holds as written.

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Inequality Symbols and Their Meaning

Inequality symbols like ≤ (less than or equal to) compare two values to show their relative size. The symbol ≤ means the value on the left is either less than or exactly equal to the value on the right.

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Number Line and Ordering of Integers

Integers are ordered on a number line from left (smaller) to right (larger). Understanding that -13 is to the left of -2 helps determine that -13 is less than -2, which is essential for evaluating inequalities.

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To determine if an inequality is true or false, substitute the values and check if the relationship holds. For example, check if -13 ≤ -2 by comparing their positions on the number line or their numeric values.

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