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Chapter 2: Q50. (page 107)

Write an equation involving absolute value for each graph.

Short Answer

Expert verified

The absolute value equation will be x−0.665=0.665.

Step by step solution

01

Step-1. Define absolute value equation.

For any real numbers a and b, ifa=b and b≥0, thena=b or a=−b.

02

Step-2. Find the mid-point of points -1.5 and 1.5.

To find the point midway between two points 0 and 1.33, add the two values and divide by 2.

Midpoint=0+1.332=1.332=0.665

03

Step-3. Write the equation.

Since, the midpoint of 0 and 1.33 is 0.665, that is, the distance from 0 to 0.665 is 0.665 units and the distance from 0.665 to 1.33 is also 0.665 units.

So, the absolute value equation will be: x−0.665=0.665.

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Most popular questions from this chapter

Solve each equation. Check your solution.

−3=2+a11

Solve each equation. Check your solution.

3t+7=−8

Solve each equation. Check your solution.

32a−8=11

Explain why the multiplication property of equality and the division property of equality can be considered the same property. Which one do you think is easier to use?

Which equation represents the second step of the solution process?

Step 1: 42x+7−6=3x

Step 2: _________________

Step 3: 5x+28−6=0

Step 4: 5x=−22

Step 5: x=−4.4

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