Question

Amy graphed a point to represent the absolute value of a number on a number line. If the original number is less than −10, describe all the possible values for the point Amy graphed on the number line.

Answer 1

Answer:

x>= 11 or x>10

Step-by-step explanation:

Absolute value can be used to represent the positive counterpart of a negative number. In this case, we are asked to find a number that is less than -10, meaning from -11 to negative infinity. Since we are asked to take absolute value, we would take |-11| which equals 11, and |-∞| = ∞.

So Amy graphed a value on the number line that is greater than or equal to 11, or any value greater than 10.

*Infinity is not a real number, it represents the largest number possible, which doesn't exist since numbers can continue on forever, so it can be disregarded.*