Q1B. - Algebra 1

Question

Identify the hypothesis and conclusion of each statement.

If $16z-5=43$, then $z=3$.

Step-by-Step Solution

Answer

The hypothesis is $16z-5=43$ and the conclusion is $z=3$.

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 $16z-5=43$, then $z=3$.

Step 3. Solve the expression.

Since the expression $16z-5=43$ immediately follows the word if, it is the hypothesis.

And the expression $z=3$ is followed by the word then, so it is the conclusion.

Thus, the hypothesis is $16z-5=43$ and the conclusion is $z=3$.