Answer:
[tex]\text{k = 4, 5, 6, 7, 8... and onwards}[/tex]
Step-by-step explanation:
The product of k/3 and 12 be greater than 12.
⇒ k/3 × 12 > 12
The first step in determining the possible values of "k" is to simplify the left-hand-side (L.H.S) of the inequality.
⇒ (12 × k)/3 > 12
⇒ (12 ÷ 3) × k > 12
⇒ (4) × k > 12
The next step in determining the possible values of "k" is to isolate the variable. To do this, we can divide 4 both sides.
⇒ [4 × k]/4 > 12/4
⇒ k > 12/4
⇒ k > 3
To satisfy the inequality, the value of k must be greater than 3. Thus, the values of k could be [tex]\text{4, 5, 6... }[/tex] and so on.
