Question

Plz Help!!!!!!!!!! 14. Teenagers should sleep between 8 and 10 hours per night. Sarah typically sleeps 2 hours less than this per night. Which inequality describes the amount of time that Sarah sleeps? A. 10 < x < 12 B. 8 < x < 10 C. 6 < x < 12 D. 6 < x < 8 E. 8 + 2 < 8 < 10 F. 8 < x < 10 + 2

Answer 1

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

The amount of time that Sarah sleeps is 6<x<8