1. Stating the problem: We need to evaluate the arithmetic expressions given. 2. For part a: Calculate $20 + 5$. 3. For part b: Calculate $-10 - (-15) - 55$. 4. For part c: Calculate $-2 - (-13)$ and compare it to $|5|$. 5. For part d: Calculate $-3 - 20$ and check if it is less than $23$. 6. Step-by-step solutions: **a.** $$20 + 5 = 25$$ **b.** $$-10 - (-15) - 55 = -10 + 15 - 55$$ $$= (\cancel{-10} + 15) - 55 = 5 - 55$$ $$= -50$$ **c.** $$-2 - (-13) = -2 + 13 = 11$$ $$|5| = 5$$ So, $11 \neq 5$. **d.** $$-3 - 20 = -3 - 20 = -23$$ Check if $-23 < 23$: Yes, it is true. Final answers: a) 25 b) -50 c) $11 \neq 5$ d) $-23 < 23$ is true.