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.
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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.
