Q77. - Algebra 1

Question

Identify the hypothesis and conclusion of each statement.

 If $\mathbf{2}\mathit{x}\mathbf{+}\mathbf{7}\mathbf{>}\mathbf{31}\mathbf{,}$ then $\mathit{x}\mathbf{>}\mathbf{12}$.

Step-by-Step Solution

Answer

The hypothesis of the given statement is $2x+7>31,$ and the conclusion is $x>12$.

Step 1. Given information.

We have a statement ‘’If $2x+7>31,$ then $x>12$''.

To identify the hypothesis and conclusion of the given statement.

Step 2. Apply concept.

The experiment is called a hypothesis and the result of the experiment is called a conclusion.

If we eat more fatty food then we will become fat.

Here, if we eat more fatty food is an experiment and we will become fat as a result.

So, if we eat more fatty food is a hypothesis and we will become fat is a conclusion.

Step 3. Conclusion.

$2x+7>31,$ is hypothesis and $x>12$ is the conclusion of the given statement.

Therefore, the hypothesis of the given statement is $2x+7>31,$ and the conclusion is $x>12$.