Chapter 1: Q3. (page 56)

Example 1 Identify the hypothesis and conclusion of each statement.
If $52 - 4 x = 28$ then $x = 6$

Short Answer

Expert verified

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

Step by step solution

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 $52 - 4 x = 28$ then $x = 6$ .

Step 3. Description of step.

To identify the hypotheses and conclusion in the statement

$52 - 4 x = 28,$

Solve the given expression and determine the value of x

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

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

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

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Example 1 Identify the hypothesis and conclusion of each statement.
If $52 - 4 x = 28$ then $x = 6$

Short Answer

Step by step solution

Step 1. Concept of Hypothesis and conclusion.

Step 2. Given statement.

Step 3. Description of step.

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Example 1 Identify the hypothesis and conclusion of each statement.If 52−4x=28 thenx=6

Short Answer

Step by step solution

Step 1. Concept of Hypothesis and conclusion.

Step 2. Given statement.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Decision Maths

Pure Maths

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Example 1 Identify the hypothesis and conclusion of each statement.
If $52 - 4 x = 28$ then $x = 6$