Final answer:
To verify the conjecture, we can isolate r by subtracting 1/2 from both sides of the equation -3r + 1/2 = 4. By dividing both sides by -3, we find that r = -1.1667, not -7/6. Thus, the conjecture is false.
Step-by-step explanation:
To verify the conjecture, we will start with the given equation: -3r + 1/2 = 4. To isolate r, we need to get rid of the 1/2 term by subtracting it from both sides of the equation.
This gives us: -3r = 4 - 1/2. Simplifying the right side, we have: -3r = 3.5. To solve for r, we divide both sides of the equation by -3: r = 3.5 / -3. Since 3.5 divided by -3 is -1.1667, we can conclude that r = -1.1667, not -7/6. Therefore, the conjecture is false.