Nested rejection regions across significance levels

A random variable X follows $N(\mu,1)$ distribution. A conventional test based on sample mean is used to test the hypothesis $H_0:\mu=\mu_0$ against $H_1:\mu=\mu_1>\mu_0$. Consider the statements: (i) If $H_0$ is rejected at $\alpha=0.05$, it is also rejected at $\alpha=0.10$. (ii) If $H_0$ is accepted at $\alpha=0.05$, it is also accepted at $\alpha=0.01$.