
(a)
To sketch: The shaded solution part of the graph of given system of inequalities.
(a)

Explanation of Solution
The given systems of inequalities are,
Choose any point in the x-y plane and check whether that point satisfies the inequalities or not, if yes then shade that portion of the graph.
Check for another point
Substitute 3 for x and 2 for y in equation (1).
This point satisfies the inequality,
Therefore, the shaded portion of the graph is on the right side of the graph
Plot the graph of the inequality according to the above solution.
Figure (1)
Figure (1) shows the graph of the inequality
Substitute 3 for x and 2 for y in equation (1).
This point also satisfies the inequality,
Therefore, the shaded portion is on the right side of the graph. and away from the origin.
Plot the graph according to the above solution.
Figure (2)
The Figure (2) shows the graph of the inequality
Draw both the inequalities on the same plane and shade the common solution of the given system of inequalities,
Figure (3)
The Figure (a) shows the graph of the inequality.
(b)
To sketch: The shaded solution part of the graph of given system of inequalities.
(b)

Explanation of Solution
The given systems of inequalities are,
Choose any point in the x-y plane and check whether that point satisfies the inequalities or not, if yes then shade that portion of the graph
Now, check for another point
Substitute 1 for x and 2 for y in both the equations.
From equation (1)
This point satisfies the inequality,
Therefore, the shaded portion of the graph is on the left side of the graph
Plot the graph of the inequality according to the above solution.
Figure (4)
The Figure (4) shows the graph of the inequality
From, equation (2)
This point does not satisfies the inequality,
Therefore, the shaded portion is on the left side of the graph. and towards the origin.
Plot the graph of the inequality according to the above solution.
Figure (5)
The Figure (5) shows the graph of the inequality
Plot both the inequalities on the same plane and shade the common solution of the given system of inequalities,
Figure (6)
Figure (6) shows the graph of the given inequalities
(c)
To sketch: The shaded solution part of the graph of given system of inequalities.
(c)

Explanation of Solution
The given systems of inequalities are,
Choose any point in the x-y plane and check whether that point satisfies the inequalities or not, if yes then shade that portion of the graph
Check for another point
Substitute 3 for x and 2 for y in both the equations.
From equation (1)
This point satisfies the inequality,
Therefore, the shaded portion of the graph is on the right side of the graph
Plot the graph of the inequality according to the above solution.
Figure (1)
Figure (1) shows the graph of the inequality
From equation (2)
This point does not satisfies the inequality,
Therefore, the shaded portion is on the left side of the graph and towards the origin.
Therefore, the shaded portion is on the left side of the graph. and towards the origin.
Plot the graph of the inequality according to the above solution.
Figure (5)
The Figure (5) shows the graph of the inequality
Plot both the inequalities on the same plane and Shade the common solution of the given system of inequalities.
Figure (7)
Figure (7) shows the graph of the given inequalities
(d)
To sketch: The shaded solution part of the graph of given system of inequalities.
(d)

Explanation of Solution
The given systems of inequalities are,
Choose any point in the x-y plane and check whether that point satisfies the inequalities or not, if yes then shade that portion of the graph
Now, check for another point
Substitute 1 for x and 2 for y in both the equations.
From equation (1)
This point satisfies the inequality,
Therefore, the shaded portion of the graph is on the left side of the graph
Plot the graph of the inequality according to the above solution.
Figure (4)
The Figure (4) shows the graph of the inequality
From, equation (2)
This point satisfies the inequality,
Therefore, the shaded portion is on the right side of the graph. and away from the origin.
Plot the graph of the inequality according to the above solution.
Figure (5)
The Figure (5) shows the graph of the inequality
Plot the graph of both the inequalities on the same plane and shade the common solution of the given system of inequalities,
Figure (8)
Figure (8) shows the graph of the given inequalities
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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