Final answer:
To solve the inequality, we need to isolate the variable by performing algebraic operations on both sides of the equation.
Step-by-step explanation:
To solve the inequality 7r + 3 ≥ 4r - 15, we want to isolate the variable r on one side of the inequality. We can do this by subtracting 4r from both sides to get 7r - 4r + 3 ≥ 4r - 4r - 15. This simplifies to 3r + 3 ≥ -15.
Next, we can subtract 3 from both sides to get 3r + 3 - 3 ≥ -15 - 3. This simplifies to 3r ≥ -18.
Finally, we divide both sides by 3 to get the solution r ≥ -6. So the inequality is satisfied when r is greater than or equal to -6.