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Chapter 1: Q1A. (page 31)

Determine the solution set for the following equation if the replacement set is {0,1,2,3}:

role="math" localid="1643262518315" 8m鈭�7=17

Short Answer

Expert verified

The solution set of the equation 8m鈭�7=17is {3}.

Step by step solution

01

Step 1. Given information.

The equation is 8m鈭�7=17and the replacement set is 0,1,2,3.

02

Step 2. Write the concept.

If x=a, where a is any real number, is a solution of the equation x+b=c. Then,x=a satisfies the equation. Here b and c are also any real numbers.

03

Step 3. Find the solution set.

Substitute the values from the replacement set one by one in the equation 8m鈭�7=17.

At m=0,

8m鈭�7=1780鈭�7=17鈭�7鈮�17

So, m=0is not a solution to the equation 8m鈭�7=17.

At m=1,

localid="1643263844848" 8m鈭�7=1781鈭�7=171鈮�17

So, m=1is not a solution to the equation 8m鈭�7=17.

At m=2,

8m鈭�7=1782鈭�7=179鈮�17

So, m=2is not a solution to the equation 8m鈭�7=17.

At m=3,

8m鈭�7=1783鈭�7=1717=17

So, m=3is a solution to the equation 8m鈭�7=17.

Therefore, the solution set is 3.

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