Final answer:
To solve the inequality -5r + 65 - 5(r + 2), simplify the expression. Combine like terms to get -10r + 55. Then isolate the variable by adding 10r to both sides. The solution to the inequality is all real numbers.
Step-by-step explanation:
To solve the inequality -5r + 65 - 5(r + 2), we need to simplify the expression first. Distribute the -5 to (r + 2) to get -5r - 10. Then combine like terms to get -5r - 5r + 65 - 10.
Combine the like terms: -10r + 55.
Now, to solve the inequality, isolate the variable by adding 10r to both sides: -10r + 10r + 55 > 0.
This simplifies to 55 > 0. Since 55 is greater than 0, the inequality is true for all values of r. Therefore, the solution to the inequality is all real numbers.