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Install NowExercise 6.2
Solve the following inequalities graphically in two dimensional planes:
1.
Ans. Given:
Table of values satisfying the equation
1 | 2 | |
4 | 3 |
Putting (0, 0) in the given in equation,
0 < 5
which is true.
Therefore, Half plane of towards origin.
2.
Ans. Given:
Table of values satisfying the equation
1 | 2 | |
4 | 2 |
Putting (0, 0) in the given in equation,
which is false.
Therefore, Half plane of away from the origin.
3.
Ans. Given:
Table of values satisfying the equation
0 | 4 | |
3 | 0 |
Putting (0, 0) in the given in equation,
which is true.
Therefore, Half plane of towards the origin.
4.
Ans. Given:
Table of values satisfying the equation
5 | 6 | |
2 | 4 |
Putting (0, 0) in the given in equation,
which is true.
Therefore, Half plane of towards the origin.
5.
Ans. Given:
Table of values satisfying the equation
2 | 3 | |
1 | 2 |
Putting (0, 0) in the given in equation,
which is true.
Therefore, Half plane of towards the origin.
6.
Ans. Given:
Table of values satisfying the equation
6 | 9 | |
2 | 4 |
Putting (0, 0) in the given in equation,
which is false.
Therefore, Half plane of away from the origin.
7.
Ans. Given:
Table of values satisfying the equation
2 | 0 | |
0 |
Putting (0, 0) in the given in equation,
which is true.
Therefore, Half plane of towards the origin.
8.
Ans. Given:
Table of values satisfying the equation
0 | ||
0 | 10 |
Putting (0, 0) in the given in equation,
which is true.
Therefore, Half plane of towards the origin.
9.
Ans. Given:
Table of values satisfying the equation
Putting (0, 0) in the given in equation,
which is false.
Therefore, Half plane of away from the origin.
10.
Ans. Given:
Putting (0, 0) in the given in equation,
which is true, therefore, Half plane of towards the origin.

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