Concept explainers
(a)
To find: the complete table.
(a)
Answer to Problem 32PPS
Therequired table is shown below.
Explanation of Solution
Given information:
The table is given by,
First fill the all possibilities in first two column and then fill the last column.
Upstairs | Downstairs | Light on |
Up | Up | |
Up | Down | |
Down | Up | |
Down | Down |
As the Venus notices that when the upstairs switch is up and the downstairs switch is down, the light is turned on.
So, complete the table accordingly.
Upstairs | Downstairs | Light on |
Up | Up | T |
Up | Down | F |
Down | Up | F |
Down | Down | T |
Therefore, the required table is shown above.
(b)
To find:whether the light on or off.
(b)
Answer to Problem 32PPS
The light will be off.
Explanation of Solution
Given information:
The table is given by,
Consider the table.
Upstairs | Downstairs | Light on |
Up | Up | T |
Up | Down | F |
Down | Up | F |
Down | Down | T |
As the Venus notices that when the upstairs switch is up and the downstairs switch is down, the light is turned on.
If the upstairs and downstairs switches are in the up position, then the light will not be on.
Therefore, the light will be off.
(c)
To find:whether the light on or off.
(c)
Answer to Problem 32PPS
The light will be off.
Explanation of Solution
Given information:
The table is given by,
Consider the table.
Upstairs | Downstairs | Light on |
Up | Up | T |
Up | Down | F |
Down | Up | F |
Down | Down | T |
As the Venus notices that when the upstairs switch is up and the downstairs switch is down, the light is turned on.
If the upstairs switch is in the down and downstairs switch is in the up position, then the light will not be on.
Therefore, the light will be off.
(d)
To find:the situation when the light will be on.
(d)
Answer to Problem 32PPS
The required situation written below.
Explanation of Solution
Given information:
The table is given by,
Consider the table.
Upstairs | Downstairs | Light on |
Up | Up | T |
Up | Down | F |
Down | Up | F |
Down | Down | T |
When the upstairs switch is up and downstairs switch is in the down position, then the light will be on.
Therefore, the required situation written above.
Chapter 2 Solutions
Geometry, Student Edition
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