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2 years ago

7

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)
.

1 answer:

o-na [289]2 years ago

8 0

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

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<h3>What are the critical points of a function?</h3>

The critical points of a function are the values of x for which:

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In this problem, the function is:

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