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[tex]\it |x|\leq\sqrt2 \Rightarrow -\sqrt2\leq x\leq\sqrt2 \Rightarrow A=[-\sqrt2,\ \sqrt2]\\ \\ |x-\sqrt3|\leq\sqrt3 \Rightarrow -\sqrt3\leq x-\sqrt3\leq\sqrt3|_{+\sqrt3} \ \Rightarrow B=[0,\ 2\sqrt3]\\ \\ -1\leq\dfrac{2x+11}{5}<3|_{\cdot5} \Rightarrow -5\leq2x+11<15|_{-11} \Rightarrow -16\leq2x<4|_{:2} \Rightarrow \\ \\ \\ \Rightarrow -8\leq x<2 \Rightarrow C=[-8,\ 2)\\ \\ \\ |x+2|<4 \Rightarrow -4<x+2<4|_{-2} \Rightarrow -6<x<2 \Rightarrow D=(-6,\ 2)[/tex]
