To solve the equation |5t| = 10, we need to consider two cases: when 5t is positive and when it is negative.
Case 1: 5t is positive:
If 5t is positive, then the equation |5t| = 10 becomes 5t = 10.
Solving for t, we divide both sides of the equation by 5:
t = 10/5
t = 2
Case 2: 5t is negative:
If 5t is negative, then the equation |5t| = 10 becomes -5t = 10.
Solving for t, we divide both sides of the equation by -5:
t = -10/5
t = -2
Therefore, the solutions to the equation |5t| = 10 are t = 2 and t = -2.
To graph the equation, we plot the solutions t = 2 and t = -2 on a number line:
___________|---|---|---|---|---|---|---|---|---|___________
-4 -3 -2 -1 0 1 2 3 4
The graph represents the values of t that satisfy the equation |5t| = 10.
Solve and graph the equation.
|5t| = 10
1 answer