Answer: r < 1
Explanation:
1. 2(1 - 3r) + 3(r + 2) >5
2. Distribute: 2 - 6r + 3r + 6 > 5
3. Combine like terms. I'll put these in parentheses so you can see them better: (2 + 6) + (-6r + 3r) -> 8 -3r > 5
4. Isolate the variable(r) by subtracting 8 from both sides: -3r > -3
5. Isolate the variable(r) by dividing. Keep in mind the sign flips when multiplying or dividing by a negative: r < 1
6. Answer analysis, if you don't understand: The answer is r < 1. Meaning r is anything smaller than 1, so 0 and all the negative numbers.