Answer:
The amount of time that Sarah sleeps is 6<x<8
Step-by-step explanation:
Mathematical inequality is that proposition that relates two algebraic expressions whose values are different. It is a proposition of relation between two different elements, either by greater, lesser, greater or equal inequality, or less or equal.
A compound inequality (or combined inequality) is two or more inequalities joined with or and and.
When two inequalities are joined with and, they are often written as a double inequality.
You know that teenagers should sleep between 8 and 10 hours per night.. Being x the number of hours slept per night, this can be represented by the following double inequality:
8<x<10
If Sarah normally sleeps 2 hours less per night, this indicates that she sleeps between (8-2) and (10-2) hours per night, that is, between 6 and 8 hours. Represented by a double inequality, Sarah normally sleeps:
6<x<8
<u><em>The amount of time that Sarah sleeps is 6<x<8</em></u>