Answer:
The y intercept is (0,-3)
By definition, if
is the least upper bound of the set
, it means two thing:
In other words, the least upper bound of a set is greater than or equal to every single element of the set, but it is "close enough" to the elements of the set, because you guaranteed to find elements in the set between
and 
For example, pick
. Obvisouly, the least upper bound is
. In fact, every number in
is smaller than 10, but as soon as you take away something from 10, say 0.01, you get 9.99, and there are elements in
greater than 9.99, say 9.9999.
So, the claim is basically proven by definition: if
, let
. By definition, there exists
.
Answer:
Step-by-step explanation:
<u>Given inequality</u>
- |x+6| - 12 < 13
- |x+6| < 13 + 12
- |x+6| < 25
To solve this inequality graphically you need two graphs according left and right sides of inequality
<u>So the graphs should be:</u>
See attached for the graph
Answer:
c = 3p
graph is in the image attached
Step-by-step explanation:
Answer:
x = 6, y = 4
Step-by-step explanation:
The diagonals of a parallelogram bisect with each other at the point of intersection with equal sides across the point of intersection.
- DH = HF ⇒ x + 2 = 2y
- GH = HE ⇒ 4x - 3 = 5y + 1
x + 2 = 2y,
4x - 3 = 5y + 1
x = 2y - 2,
4(2y - 2) - 3 = 5y + 1
x = 2y - 2,
8y - 8 - 3 = 5y + 1
x = 2y - 2,
8y - 11 = 5y + 1
x = 2y - 2,
8y - 5y = 11 + 1
x = 2y - 2,
3y = 12
x = 2y - 2,
y = 4
x = 2*4 - 2,
y = 4
x = 6,
y = 4