Q22. - Algebra 1

Question

Identify the hypothesis and conclusion of each statement.

Then write each statement in if-then form.

For $x=4,6x-10=14$

Step-by-Step Solution

Answer

$x=4$ is the hypothesis and $6x-10=14$ is the conclusion.

If $x=4$, then $6x-10=14$

Step 1. Given expression.

$6x-10=14$

Step 2. Description of step.

To identify the hypotheses and conclusion in the statement

$6x-10=14$ and $x=4$

 Solve the given expression and determine the value of $x$ 

Step 3. Solve the expression.

$\begin{array}{l}6x-10=14\\ \Rightarrow 6x=14+10\\ \Rightarrow 6x=24\\ \Rightarrow x=\frac{24}{6}\\ \Rightarrow x=4\end{array}$

Thus,

If $x=4$, then $6x-10=14$

Hence $x=4$ is the hypothesis and $6x-10=14$ is the conclusion.