1. Given the universal set $I=\mathbf{R}, A=\{x \mid x+1 \geqslant 0\}, B=\left(x \mid x^{2}-2 \geqslant 0\right\}$, then $A \cap \bar{B}$ is ( ).
A. $\{x \mid x \geqslant \sqrt{2}$ or $x \leqslant-\sqrt{2}\}$
B. $\{x \mid x<-\sqrt{2}$ or $x \geqslant-1\}$
C. $\{x \mid-1 \leqslant x<\sqrt{2}\}$
D. $\{x \mid-\sqrt{2} \leqslant x \leqslant 1\}$
1. C.  Given $A=\{x \mid x \geqslant-1\}, B=\{x \mid x \geqslant \sqrt{2}$ or $x \leqslant-\sqrt{2}\}$, the answer can be obtained using a number line.