Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

For what values of x is the absolute value of x less than or equal to 1.5? (Hint: Substitute numbers into the inequality |x| ≤ 1.5 and see which numbers make the inequality true.) Complete the conjecture about when the absolute value of x is less than or equal to a given positive number k.

The absolute value of x is less than or equal to 1.5 when
(select)
. The absolute value of x is less than or equal to k when
(select)
.


Sagot :

Answer:

|x|<1.5

if x=0

0<1.5 is true

if x=1.5

1.5<1.5

true

if x=-1.5

|-1.5|<1.5

anything greater than 1.5 or less than -1.5 doesn't work

the way to solve is

assume that the inside is negative so if you had

|x|=a then to solve

x=a

x=-a