Simplify each inequality if needed. Then determine whether the statement is true or false. -8 > -|-6|

Verified step by step guidance

1. Identify the absolute value expression in the inequality: \(-|-6|\). Recall that the absolute value of a number is its distance from zero on the number line, always non-negative.
2. Calculate the absolute value: \(|-6| = 6\) because the absolute value of -6 is 6.
3. Substitute the absolute value back into the inequality: \(-8 > -6\).
4. Compare the two numbers on the number line: \(-8\) and \(-6\). Remember that on the number line, numbers to the right are greater.
5. Determine if the inequality \(-8 > -6\) is true or false based on their positions on the number line.

Key Concepts

Absolute Value

The absolute value of a number is its distance from zero on the number line, always expressed as a non-negative value. For example, |-6| equals 6 because 6 is six units away from zero, regardless of the sign.

Inequality Symbols and Their Meaning

Inequality symbols like '>' indicate the relative size of two values. The symbol '>' means 'greater than,' so a statement like a > b is true if a is larger than b, and false otherwise.

Comparing Negative Numbers

When comparing negative numbers, remember that a number with a smaller absolute value is actually greater. For example, -8 is less than -6 because -8 lies further left on the number line.