Q3. - Algebra 1

Question

Example 1 Identify the hypothesis and conclusion of each statement.

If $52-4x=28$ then $x=6$

Step-by-Step Solution

Answer

The equation $52-4x=28$ is the hypothesis and $x=6$ is the conclusion.

Step 1. Concept of Hypothesis and conclusion.

The hypothesis and the conclusion of a conditional statement are where the hypothesis is the phrase immediately following by the word if and the conclusion is the phrase immediately following by the word then.

Step 2. Given statement.

The given statement is, if $52-4x=28$ then $x=6$.

Step 3. Description of step.

To identify the hypotheses and conclusion in the statement

$52-4x=28,$

Solve the given expression and determine the value of x 

$\begin{array}{l}52-4x=28\\ -4x=28-52\\ -4x=-24\\ 4x=24\\ x=\frac{24}{4}\\ \Rightarrow x=6\end{array}$

Thus, if the given equation is $52-4x=28$ then its solution is $x=6$.

Hence, $52-4x=28$ is the hypothesis and $x=6$ is the conclusion.