Answer:
A.
Step-by-step explanation:
Let be the equation of the perpendicular line.
Two perpendicular lines have slopes with product equal to -1. The slope of the given line is Hence,
is the slope of needed line.
This line passes through the point (-4,2), so its coordinates satisfy the equation:
Therefore, the equation of the line is
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
.