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Chapter 1: Q3. (page 56)

Example 1 Identify the hypothesis and conclusion of each statement.

If 52鈭�4x=28 thenx=6

Short Answer

Expert verified

The equation 52鈭�4x=28is the hypothesis and x=6is the conclusion.

Step by step solution

01

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.

02

Step 2. Given statement.

The given statement is, if 52鈭�4x=28then x=6.

03

Step 3. Description of step.

To identify the hypotheses and conclusion in the statement

52鈭�4x=28,

Solve the given expression and determine the value of x

52鈭�4x=28鈭�4x=28鈭�52鈭�4x=鈭�244x=24x=244鈬�x=6

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

Hence, 52鈭�4x=28 is the hypothesis and x=6is the conclusion.

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