Here are some properties of absolute values that can be useful: |a| ≥ 0 always! That makes sense |a| can never be less than zero. |a| = √ (a2) Squaring a makes it positive or zero (for a as a

If our absolute value is greater than or equal to 21, that means that what's inside the absolute value has to be either just straight up greater than the positive 21, or less than negative 21. Because if it's less

Absolute value equations are equations where the variable is within an absolute value operator, like |x-5|=9. The challenge is that the absolute value of a number depends on the number's sign: if it's positive

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