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Answer:
is linearly dependent set.
Step-by-step explanation:
Given: is a linearly dependent set in set of real numbers R
To show: the set is linearly dependent.
Solution:
If is a set of linearly dependent vectors then there exists atleast one
such that
Consider
A linear transformation T: U→V satisfies the following properties:
1.
2.
Here, ∈ U
As T is a linear transformation,
As is a linearly dependent set,
for some
So, for some
Therefore, set is linearly dependent.
Given:
The inequality is
To find:
The value of x and then graph on the number line.
Solution:
We have,
Subtracting 19 from both sides, we get
It means all the real values of x which are less than or equal to 4 are in the solution set. So, an arrow approaches towards left from x=4 as shown in the below figure.
