Determine whether each statement in is true or false. 0 ≥ -6

Verified step by step guidance

1. Identify the inequality given: \(0 \geq -6\) means "0 is greater than or equal to -6."
2. Recall the number line order: numbers increase as you move to the right, so any number to the right is greater than those to the left.
3. Since 0 is to the right of -6 on the number line, 0 is indeed greater than -6.
4. The "greater than or equal to" symbol (\(\geq\)) means the left side can be either greater than or exactly equal to the right side.
5. Therefore, the statement \(0 \geq -6\) is true because 0 is greater than -6.

Key Concepts

Inequality Symbols and Their Meanings

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

Number Line and Order of Real Numbers

Real numbers can be placed on a number line where numbers increase from left to right. Understanding this order helps determine if one number is greater than, less than, or equal to another.

Evaluating Inequalities

To evaluate an inequality, substitute the values and check if the statement is true. For example, 0 ≥ -6 means checking if zero is greater than or equal to negative six, which is true since zero is to the right of -6 on the number line.