Simplify 1/x-10 9x/x^2 - 9x -10
1 answer:
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Step-by-step explanation:
Say is an element of
which might have more than 1 inverse. Let's call them
, and
. So that
has apparently two inverses,
and
.
This means that and that
(where
is the identity element of the group, and * is the operation of the group)
But so we could merge those two equations into a single one, getting
And operating both sides by b by the left, we'd get:
Now, remember the operation on any group is associative, meaning we can rearrange the parenthesis to our liking, gettting then:
And since b is the inverse of a, , and so:
(since e is the identity of the group)
So turns out that b and c, which we thought might be two different inverses of a, HAVE to be the same element. Therefore every element of a group has a unique inverse.
Given:
The inequality is:
To find:
The graph for the given linear inequality in the coordinate plane.
Solution:
We have,
The related equation for this inequality is:
The table of values is:
x y
0 3
-1 -2
Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.
Check the given inequality for (0,0).
This statement is true. So, the shaded area of the given inequality is towards the origin.
Therefore, the required graph is shown below.
