Question
Find a counterexample to show that the following conjecture is false. Conjecture: The square of any integer is always greater than the integer.
Hint:
Take an example and check.
The correct answer is: Thus we get that 0 as an integer to disprove the conjecture.
Complete step by step solution:
Here take the integer x = 0
On squaring, we get
Here, 0 is never greater than 0.
Thus we get that 0 as an integer to disprove the conjecture.
Related Questions to study
Choose the synonym for 'infer’
Choose the synonym for 'infer’
Mohammad constructs a scatter plot to show the data. What scales could he use for the X- and Y- axes.
HEIGHTS AND SHOE SIZES
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Ira also tracks the number of minutes a player plays and the number of points the player scored. Describe the association between the two data sets. Tell What the Association suggests.
Ira also tracks the number of minutes a player plays and the number of points the player scored. Describe the association between the two data sets. Tell What the Association suggests.
What are the first three numbers in the pattern? −, −, −, 64, 128, 256, ...
What are the first three numbers in the pattern? −, −, −, 64, 128, 256, ...
Make and test a conjecture about the sign of the cube of negative integers.
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Ira is the middle school basketball statistician. She tracks the number of minutes a player plays and the number of fouls the player makes. Her data are shown in the scatter plots. Is there an association between the number of minutes played and the number of fouls made?
Ira is the middle school basketball statistician. She tracks the number of minutes a player plays and the number of fouls the player makes. Her data are shown in the scatter plots. Is there an association between the number of minutes played and the number of fouls made?
Choose the Synonym for 'Comparing
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Choose the synonym for " sequences"
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The graph shows the temperature between noon and midnight in City A on a certain day.
The table shows the temperature, TT, in degrees Fahrenheit, for hh hours after noon, in City B.
1.Which city was warmer at p.m.?
2.Which city had a bigger change in temperature between p.m. and p.m.?
3.How much greater was the highest recorded temperature in than the highest recorded temperature in City A during this time?
4.Compare the outputs of the functions when the input is 3 .
Here, we just need to read the given question carefully and understand each and every term. We need to interpret the graph and table correctly to find the correct answer.
The graph shows the temperature between noon and midnight in City A on a certain day.
The table shows the temperature, TT, in degrees Fahrenheit, for hh hours after noon, in City B.
1.Which city was warmer at p.m.?
2.Which city had a bigger change in temperature between p.m. and p.m.?
3.How much greater was the highest recorded temperature in than the highest recorded temperature in City A during this time?
4.Compare the outputs of the functions when the input is 3 .
Here, we just need to read the given question carefully and understand each and every term. We need to interpret the graph and table correctly to find the correct answer.
Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.
Number of connections for 3 noncollinear points = 3
Number of connections for 4 noncollinear points = 6
Next from the figure, we get number of connections for 5 noncollinear points = 10
So the sequence is 3, 6, 10
Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.
Number of connections for 3 noncollinear points = 3
Number of connections for 4 noncollinear points = 6
Next from the figure, we get number of connections for 5 noncollinear points = 10
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Blooms Level : Understanding
Meri analyzes the data collected to determine how long after posting a new blog her new home page received its maximum number of new views. Her data is presented in the table. How can she determine whether there is relationship between the time after posting and the number of new views.
NUMBER OF VIEWS ON HOME PAGE :
Blooms Level : Understanding
Meri analyzes the data collected to determine how long after posting a new blog her new home page received its maximum number of new views. Her data is presented in the table. How can she determine whether there is relationship between the time after posting and the number of new views.
NUMBER OF VIEWS ON HOME PAGE :
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Describe the pattern in the numbers. Write the next number in the pattern., 3.5, 1.75, 0.875, …
Given an example of a non-linear function in table form.
X | |||||
Y |
We know that the graph of a non linear function is not a straight line.
So, we can plot the above ordered pairs to verify that the graph of the above points is not a straight line and hence not a linear function.
Given an example of a non-linear function in table form.
X | |||||
Y |
We know that the graph of a non linear function is not a straight line.
So, we can plot the above ordered pairs to verify that the graph of the above points is not a straight line and hence not a linear function.