Question

# Which of the following is the basis for inductive reasoning?

- Definitions and accepted properties
- Facts and rules
- Laws of logic
- Observed patterns

Hint:

### Inductive reasoning is a type of reasoning where we draw the conclusions based on set of specific observations.

## The correct answer is: Observed patterns

### we need to find the basis of inductive reasoning.

Therefore, observed patterns is the basis for inductive reasoning.

### Related Questions to study

### Complete the conjecture.

The sum of two negative numbers is ___________.

Hence, the sum of two negative numbers is negative.

### Complete the conjecture.

The sum of two negative numbers is ___________.

Hence, the sum of two negative numbers is negative.

### Find a pattern in the sequence. Use the pattern to show the next two terms.

1, 3, 7, 15, 31, ___, ___

Therefore, the two numbers in the given sequence are 63 and 127

### Find a pattern in the sequence. Use the pattern to show the next two terms.

1, 3, 7, 15, 31, ___, ___

Therefore, the two numbers in the given sequence are 63 and 127

### Which numbers are not counterexamples for the following statement?

For any numbers a and b, = a - b

Therefore, a = 4, b = 2 satisfies the statement = a - b. Hence, a = 4, b = 2 are not counterexamples of the statement = a - b.

### Which numbers are not counterexamples for the following statement?

For any numbers a and b, = a - b

Therefore, a = 4, b = 2 satisfies the statement = a - b. Hence, a = 4, b = 2 are not counterexamples of the statement = a - b.

### Which number is a counterexample to the following statement?

For all numbers a, 2a + 7 ≤17

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.

### Which number is a counterexample to the following statement?

For all numbers a, 2a + 7 ≤17

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.

### Which of the following is a counterexample to the following conjecture?

If x^{2} = 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 x^{2} = 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?

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?

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?

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?

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.