Answer:
The maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅
Step-by-step explanation:
Given;
[tex]\frac{|5k-8|}{10} = 2\\\\|5k-8| = 20[/tex]
Simplifying further;
5k - 8 = 20 ------- (1)
5k - 8 = -20------(2)
Solving equation (1)
5k - 8 = 20
5k = 28
k = 28 /5 = 5 ³/₅
Solving equation (2)
5k - 8 = -20
5k = -20 + 8
5k = -12
k = -12 / 5 = -2 ²/₅
Thus, the maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅
