Final answer:
The possible values for x, given that the product of (x - 3) and 6 is at least 15, are all values greater than or equal to 5.5.
Step-by-step explanation:
The question is asking for the possible values of x given that the product of (x-3) and 6 is at least 15. To find the possible values of x, we need to set up an inequality and then solve for x:
- First, we write down the inequality as stated: (x - 3) × 6 ≥ 15.
- Next, we divide both sides of the inequality by 6 to isolate the (x-3) term: x - 3 ≥ 2.5.
- Then, we add 3 to both sides of the inequality to solve for x: x ≥ 2.5 + 3.
- Finally, we find that x ≥ 5.5, which tells us that x must be greater than or equal to 5.5.
This means that any value of x that is 5.5 or higher will satisfy the condition that the product of (x - 3) and 6 is at least 15.