Giai gium em cau 3b voi aj

Giai gium em cau 3b voi aj

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  1. Đáp án:

    Giải thích các bước giải:

    \[\begin{array}{l}
    1.\,\,E = \left[ {2;6} \right),\,H = \left( {2m – 3;2m} \right]\\
    E \subset H \Leftrightarrow 2m – 3 < 2 < 6 < 2m\\ \Leftrightarrow \left\{ \begin{array}{l} 2m - 3 < 2\\ 6 < 2m \end{array} \right. \Leftrightarrow \left\{ \begin{array}{l} m < \frac{5}{2}\\ m > 3
    \end{array} \right. \Rightarrow m \in \emptyset \\
    2.\,\,E = \left[ {2;6} \right);\,\,F = \left[ {m + 1;5} \right];\,\,H = \left( {2m – 3;2m} \right]\\
    TH1:\,m + 1 \ge 2 \Rightarrow E \cap F = \left[ {m + 1;5} \right]\\
    \left( {E \cap F} \right)\backslash H = \emptyset \Rightarrow E \cap F \subset H\\
    \Rightarrow 2m – 3 < m + 1 < 5 \le 2m\\ \Leftrightarrow \left\{ \begin{array}{l} 2m - 3 < m + 1\\ m + 1 < 5\\ 5 \le 2m \end{array} \right. \Leftrightarrow \left\{ \begin{array}{l} m < 4\\ m < 4\\ m \ge \frac{5}{2} \end{array} \right. \Leftrightarrow \frac{5}{2} \le m < 4\\ Ket\,hop\,m + 1 \ge 2 \Leftrightarrow m \ge 1\,duoc\,\frac{5}{2} \le m < 4\\ TH2:\,\,m + 1 < 2\, \Rightarrow E \cap F = \left[ {2;5} \right]\\ \left( {E \cap F} \right)\backslash H = \emptyset \Leftrightarrow E \cap F \subset H\\ \Rightarrow 2m - 3 < 2 < 5 \le 2m\\ \Leftrightarrow \left\{ \begin{array}{l} 2m - 3 < 2\\ 5 \le 2m \end{array} \right.\\ \Leftrightarrow \left\{ \begin{array}{l} m < \frac{5}{2}\\ m \ge \frac{5}{2} \end{array} \right.\,\,\,\left( {vo\,li} \right)\\ Vay\,\frac{5}{2} \le m < 4 \end{array}\]

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