Thank you for the opportunity to help you with your question!
The absolute value of a number measures its distance to origin on real
Since 5 is at 5 units distance from
origin 0, absolute value of 5 is 5,=5.
Same properties of Inequality apply when solving an absolute value
inequality as when solving a regular inequality. Main difference is that in
absolute value inequality, one needs to evaluate inequality twice to account
for both positive and negative possibilities for the variable.
Example: 3|h| < 21. First step is to
isolate the absolute value term on one side of the inequality. One can do that
by dividing both sides by 3, just as one would do in a regular inequality. With
inequality in simpler form, one can evaluate absolute value as h < 7
and h > -7. The range of possible solutions for the inequality 3|h|
< 21 is all numbers from -7 to 7 (not including -7 and 7).
Please let me know if you need any clarification. I'm always happy to answer your questions.