Given:
The inequalities are:
a)
b)
To find:
The solution of inequalities by substituting the given values.
Solution:
a) We have,
After substituting the given values one by one, we get
False statement.
False statement.
True statement.
True statement.
Therefore the solutions of are
.
b)
We have,
After substituting the given values one by one, we get
True statement.
False statement.
False statement.
False statement.
Therefore, the solution of is
.
Answer:
look at attached image, hope this helps! :)
<u>ANSWER</u>
The line that is parallel to through
is
.
<u>EXPLANATION</u>
The equation that is parallel to the line has a slope that is equal to the slope of this line.
By comparing this equation to the general slope intercept form,
,this line has slope
.
Hence the line parallel to this line also has slope .
Let be the equation of the line parallel to the line
We can substitute to obtain;
If the line passes through the point ,then this point must satisfy its equation.
We substitute and
to obtain;
We this equation for .
We substitute this value of in to
to get;
.
Hence the equation of the line that is parallel to through
is
.