Write an absolute value equation representing all numbers x whose distance from 0 is 17 units.
Oh, boy, time to measure some distances with my humor tape measure! So, we're looking for all numbers that are 17 units away from 0. That means we're dealing with a distance of 17 in both directions. Grabbing my magic clown pen, I can say the absolute value equation is |x| = 17. Ta-da! Now we've got all the glorious numbers that are 17 units away from zero. Steer clear of those zeros, they might be envious of the 17s!
The absolute value equation representing all numbers x whose distance from 0 is 17 units is:
|x| = 17
To write an absolute value equation representing all numbers x whose distance from 0 is 17 units, we need to consider that the absolute value of a number represents its distance from 0 on a number line.
The absolute value of a number, denoted as |x|, is defined as follows:
- If x is positive or zero, then |x| = x.
- If x is negative, then |x| = -x.
Since we are interested in numbers whose distance from 0 is 17 units, we can write the absolute value equation as:
|x| = 17
This equation represents all numbers x whose distance from 0 is 17 units.