Question
Which number is a counterexample to the following statement?
For all numbers a, 2a + 7 ≤17
- a = 6
- a = 0
- a = 5
- a = 1
Hint:
Given inequality is
2a + 7 ≤17
Subtract 7 on both sides
2a+7- 7 ≤ 17 - 7
2a ≤ 10
a ≤ 5
So from the gven options we have 6 which is not lessthan or equal to 5
The correct answer is: a = 6
In the given question we were given with a inequality and aske to find the counter example for a
So we solved the inequality and then obtained the domain of a based on that we eliminated the options and the n obtained the counter example.
Related Questions to study
Which of the following is a counterexample to the following conjecture?
If x2 = 4, then x = 2.
We solved the given equation and obtained the roots from that we found the counter example.
Which of the following is a counterexample to the following conjecture?
If x2 = 4, then x = 2.
We solved the given equation and obtained the roots from that we found the counter example.
Which of the boxes comes next in the sequence?
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)
Hence while solving the question we should observe each imagge how iti changed with previous form and obtain general rules for it.
Which of the boxes comes next in the sequence?
![](data:image/png;base64,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)
Hence while solving the question we should observe each imagge how iti changed with previous form and obtain general rules for it.
Which of the boxes comes next in the sequence?
![](data:image/png;base64,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)
We carefully observed the pattern and rules to obtain the next image and option a suits
Which of the boxes comes next in the sequence?
![](data:image/png;base64,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)
We carefully observed the pattern and rules to obtain the next image and option a suits
Consider the conditional statement “If A, then B,” where the hypothesis A is “x and y are even numbers” and the conclusion 𝐵 is “x + y is even”
.Complete the table to give the truth value of the conditional statement and its converse, inverse, and contrapositive.
Sum of two even numbers is even and sum of two odd numbers is also even.
Consider the conditional statement “If A, then B,” where the hypothesis A is “x and y are even numbers” and the conclusion 𝐵 is “x + y is even”
.Complete the table to give the truth value of the conditional statement and its converse, inverse, and contrapositive.
Sum of two even numbers is even and sum of two odd numbers is also even.
When taking the inverse, we _____________ the hypothesis and conclusion.
When taking the inverse, we _____________ the hypothesis and conclusion.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.
When taking the converse, we ___________ the hypothesis and conclusion.
To form the converse of the conditional statement, interchange the hypothesis and the conclusion.
When taking the converse, we ___________ the hypothesis and conclusion.
To form the converse of the conditional statement, interchange the hypothesis and the conclusion.
What is the biconditional statement of the following conditional statement?
“If Shelly lives in Texas, then she lives in the United States.”
What is the biconditional statement of the following conditional statement?
“If Shelly lives in Texas, then she lives in the United States.”
Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.
Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.
To write the converse, you negate both the hypothesis and the conclusion.
To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.
To write the converse, you negate both the hypothesis and the conclusion.
To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.