Let the set t be given by t = { x in the reals | x^2 < 2}. describe maximum, minimum, supremum (least upper bound), and infimum (greatest lower bound) for t (they may not exist).

Step-by-step explanation:

We have the set . Now, let us recall that , and the inequality is equivalent to , so our set can be written as

.

The inequality is equivalent to . So,

. Thus, .

Now, we have that is the open interval (-2,2). From this we can extract all the information we need:

answer: 43/157

this is the answer and if you try to prove me wrong your a meanie

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )