Question

For each of the figures, write an absolute value equation to satisfy the given solution set.

Answer 1

Answer:

|x-1|=5

Step-by-step explanation:

From the diagram you can see that the solutions of the equation are $x_1=-4$ and $x_2=6$

1. Find the midpoint between -4 and 6:

1/2(-4+6)=1

2. Find the distance between points x=1 and x=6 (or between x=1 and x=-4):

d=6-1=5

3. Writhe an absolute value equation (the distanse from endpoints $x_1=-4$ and $x_2=6$ to the midpoint x=1 is equal 5):

|x-1|=5