To solve the equation |2t| = 4, we can consider two cases:
Case 1: 2t is positive:
If 2t is positive, then |2t| = 2t. So we have 2t = 4.
Dividing both sides of the equation by 2 gives us:
t = 2.
Case 2: 2t is negative:
If 2t is negative, then |2t| = -2t. So we have -2t = 4.
Dividing both sides of the equation by -2 gives us:
t = -2.
Therefore, the solutions to the equation |2t| = 4 are t = 2 and t = -2.
Graphically, these solutions can be represented as two points on the number line:
---------------------(-2)----------------(2)-------------------
So the correct choice is:
OA. t = -2, 2
Part 1 of 2 Solve and graph the equation. |2t| = 4 Select the correct choice and, if necessary, fill in the answer box in your choice below.
OA. t = (Simplify your answer. Use a comma to separate answers as needed.)
OB. There is no solution.
1 answer