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Chapter 1: Q23. (page 57)

Example 2 Identify the hypothesis and conclusion of each statement.

Then write each statement in if-then form.

5m鈭�8<52when m<12.

Short Answer

Expert verified

5m鈭�8<52 is the hypothesis and m<12is the conclusion.

And if-then form is:

If m<12, then 5m鈭�8<52

Step by step solution

01

Step 1. Given expression.

5m鈭�8<52whenm<12

02

Step 2. Description of step.

To identify the hypothesis and conclusion in the statement

5m鈭�8<52when m<12,

Solve the given expression and determine the values of m.

As,

5m鈭�8<52鈬�5m<52+8鈬�5m<60鈬�m<605鈬�m<12

Now if m takes any value greater than 12, then the hypothesis 5m鈭�8<52becomes false.

And it is written in an if-then form as:

Thus, 5m鈭�8<52is the hypothesis and m<12is the conclusion.

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