The absolute value of a number will always be positive. Therefore, |d + 1| = 1 will have two possible solutions: d + 1 = 1 and d + 1 = -1.
For d + 1 = 1, if we isolate d, we have d = 0.
For d + 1 = -1, if we isolate d, we have d = -2.
Therefore, the two solutions to the equation |d + 1| = 1 are d = 0 and d = -2.
To graph the solutions on a number line, we place an open circle at 0 and -2, indicating that these values are not included in the solution. Then, we shade the portion of the number line between 0 and -2, as all values in that range satisfy the equation.
Number Line:
-------------------------o---o------------------------>
-4 -3 -2 -1 0 1 2 3 4
The shaded portion of the number line is between -2 and 0.
Solve for d and graph the solution.
1=|d+1|
Click to select points on the number line.
1 answer