How would I start this?

Mathematics

1 answer:

solong [7]4 years ago

4 0

Answer:

(0, ∞)

Step-by-step explanation:

A good place to start is by visualizing what the graph looks like on a number line.

For x > 0, it is an open circle at x=0, and shading to the right extending to infinity.

So, the left end of the interval is 0, but 0 is not included in the interval.

The right end of the interval is infinity, but there is no such number, so "infinity" is not included in the interval.

"Not included" means you use round brackets ( ) for the corresponding end of the interval. ("Included" would mean you use square brackets [ ].)

So, the interval 0 < x < ∞ is written in interval notation as ...

(0, ∞)

You might be interested in

The group is planning to build a fence around the garden. How many yards of fencing materials do they need for the fence? Show y

garri49 [273]

Answer:

They need 130 yds to build up the fence.

Step-by-step explanation:

Attached you can find a picture that will guide the explanation. We will assume that each line is supposed to be a fence. We will assume also that the diagonals that cross any subfield that has the same vegetable is unnecessary. That is that the diagonal of the tomatoes and the watermelon are not going to be built.

Recall that the red peppers area is a right triangle. So, using pythagora's theorem, we have that

$b^2 +12^2 = 15^2$ so $b=15^2-12^2$

which gives us that b = 9.

On the same fashion, the diagonal of the spinach-celery sector is $\sqrt[]{8^2+6^2}=10$ . Recall that the field is a rectangle, so the perimeter of the outter fence is 2*(12+6)+2*(8+9) = 70 yds. Then, the total perimeter is given by

outter fence (70)+

fence spinach-watermelon (8) +

fence red peppers-watermelon(12)+

fence red peppers-carrots (15)+

fence carrots-tomatoes (9)+

fence celery-tomatoes(6) +

fence spinach-celery(10)

= 130 yds

(if the diagonals of tomatoes and watermelon are added, the same procedure applies. watermelon diagonal is 14.42 yds and tomatoes diagonal is 10.81 yds)