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Chapter 2: Q34. (page 106)

Write an equation involving absolute value for each graph.

Short Answer

Expert verified

The absolute value equation will be x=6.

Step by step solution

01

Step-1. Define absolute value equation.

For any real numbers a and b, ifa=band b鈮�0, thena=bor a=鈭�b.

02

Step-2. Find the mid-point of points -6 and 6.

To find the point midway between two points -6 and 6, add the two values and divide by 2.

Midpoint=鈭�6+62=02=0

03

Step-3. Write the equation.

Since, the midpoint of -6 and 6 is 0, that is, the distance from -6 to 0 is 6 units and the distance from 0 to 6 is also 6 units.

So, the absolute value equation will be:

x鈭�0=6x=6

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Most popular questions from this chapter

Translate the following sentence into an equation:

鈥淭he quotient of t and forty is the same as twelve minus half of u鈥�.

Which equation represents the second step of the solution process?

Step 1: 42x+7鈭�6=3x

Step 2: _________________

Step 3: 5x+28鈭�6=0

Step 4: 5x=鈭�22

Step 5: x=鈭�4.4

  1. 42x鈭�6+7=3x
  2. 42x+1=3x
  3. 8x+7鈭�6=3x
  4. 8x+28鈭�6=3x

Discuss why 23b=16and 48=2chave the same solution.

OPEN ENDED Create an equation with at least two grouping symbols for which there is no solution.

Translate the following sentence into an equation:

鈥淭hree times b less than 100 is equal to the product of 6 and b鈥�.
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