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3 years ago

Which of the following solution sets is all real numbers? |x|>-2 |x|=-2 |x|<-2

Mathematics

2 answers:

JulijaS [17]3 years ago

4 0

|x|>-2 should be your answer

|x| means that no matter what the number (x) is, it will always be positive.

Because a positive number is always greater than a negative, (A) is your best answer choice

hope this helps

Gelneren [198K]3 years ago

4 0

|x| = x for x > 0

examples

|3| = 3; |6| = 6; |10,456.7|= 10,456.7

|0| = 0

|x| = -x for x < 0

examples

|-4| = -(-4) = 4; |-100| = -(-100) = 100; |-34,567.9| = 34,567.9

So. The conclusion is |x| ≥ 0 for all real numbers.

Therefore

|x| > -2 → x ∈ R /all real numbers/

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A piecewise function is a function that behaves differently in different intervals of its domain.

The answers are:

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The first 100 cupcakes cost $2.00 each.

If the order is between 100 and 250 cupcakes, the cost is $1.75 each.

If the order is more than 250 cupcakes, the cost is $1.25 each.

a) Now we want to write the piecewise function, this will be:

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f(x) = x*$1.75 if 100 < x ≤ 250

f(x) = x*$1.25 if x > 250.

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2 years ago

Line $\ell_1$ is horizontal and passes through $(1,1)$. Line $\ell_2$ is vertical and passes through $(2,2)$. Find the point of

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Answer:

(2,1)

Step by step explanation:

Please find the attachment.

We have been given that line $l_1$ is horizontal and passes through point (1,1). Line $l_2$ is vertical and passes through point (2,2). We are asked to find point of intersection of line $l_1$ and line $l_2$ .

Line $l_1$ is a horizontal line so y-coordinate will be 1 for any value of x. Line $l_2$ is a vertical line, so x-coordinate will be 2 for any value of y.

Therefore, intersection point of both lines will include x-coordinate of line $l_2$ and y-coordinate of line $l_1$ that is (2,1).