Đề kiểm tra 45' - Ôn tập tổng hợp Chương 1 - Mệnh...

A \(\exists x \in R,{x^2} + x + 5 \le 0  \)

B \( \forall x \in R,\,{x^2} + x + 5 \le 0. \)

C \( \exists x \in R,{x^2} + x + 5 < 0 \)

D \( \forall x \in R,{x^2} + x + 5 < 0 \)

A {2}

B {1; 2; 3; 4; 5; 6; 7; 8}

C {2; 5}

D {5}

A \(\left[ {0;5} \right]\)

B \(\left( {0;5} \right]  \)

C \( \left( {0;5} \right) \)

D \(  \left( { - \infty ; + \infty } \right)\)

A 2

B 4

C 6

D 1

A \(A = \left\{ { - 2;2} \right\}  \)

B \( A=R \)

C \(A = R\backslash \left\{ { - 2;\,2} \right\}  \)

D \( A = R\backslash \left\{ 2 \right\} \)

A  \( A \cap B = \left\{ { - 2;\,\,2} \right\} \) 

B  \(  A \cup B = B\) 

C  \(A\backslash B = \left\{ {1;\,\,3;\,\,4} \right\}  \) 

D  \(A \cap B = \left\{ {\,2} \right\}  \) 

A 8

B 6

C 5

D 7

A \( A \subset B \) 

B \( A\backslash B = B \) 

C \(  B\backslash A = B\) 

D \(  A \cap B = A\) 

A \(\left\{ 2 \right\}  \)

B \(  \emptyset \)

C \( \left\{ {2;\,\,3} \right\}\,\, \)

D \( \left\{ {3} \right\}\,\, \)

A  \(A \cap B \cap C = \left( {1;4} \right) \)

B  \( A \cap B \cap C = \left[ {1;4} \right]\)

C  \(A \cap B \cap C = \left( {1;4} \right] \)

D  \( A \cap B \cap C = \left[ {1;4} \right)\)

A \( \left( {A \cap C} \right)\backslash B = \left( { - 2; - 1} \right) \cup \left\{ 0 \right\}\)

B \( \left( {A \cap C} \right)\backslash B = \left[ { - 2; - 1} \right)\cup \left\{ 0 \right\}\)

C \(\left( {A \cap C} \right)\backslash B = \left[ { - 2; - 1} \right]\cup \left\{ 0 \right\} \)

D \(\left( {A \cap C} \right)\backslash B = \left( { - 2; - 1} \right] \cup \left\{ 0 \right\}\)

A \( \left[ \matrix{ a > 3 \hfill \cr a < - 4 \hfill \cr} \right.\)

B \(\left[ \matrix{ a \ge 3 \hfill \cr a \le - 4 \hfill \cr} \right.\)

C \(\left[ \matrix{ a > 3 \hfill \cr a \le - 4 \hfill \cr} \right.\)

D \(\left[ \matrix{ a \ge 3 \hfill \cr a < - 4 \hfill \cr} \right.\)

A \(\left[ \matrix{ a \ge {5 \over 2} \hfill \cr a < - {1 \over 3} \hfill \cr} \right.\)

B \( - {1 \over 3} \le a < {5 \over 2}\)

C \(\left[ \matrix{ a < {5 \over 2} \hfill \cr a \ge - {1 \over 3} \hfill \cr} \right.\)

D \( - {1 \over 3} \le a \le {5 \over 2} \)

A \( M = \left\{ {x \in N/\,2x - 1 = 0} \right\}\)

B \( M = \left\{ {x \in Q/\,3x + 2 = 0} \right\}\)

C \(M = \left\{ {x \in R/\,{x^2} - 6x + 9 = 0} \right\} \)

D \( M = \left\{ {x \in Z/\,\,{x^2} = 0} \right\}\)

A \(\left[ { - 3;1} \right) \cup \left( { - 3;3} \right) = \left[ { - 3;3} \right) \)

B \(\left[ { - 3;1} \right) \cup \left( { - 4;3} \right) = \left( { - 4;3} \right) \)

C \( \left[ { - 3;1} \right) \cup \left( { - 5;3} \right) = \left[ { - 3;3} \right)\)

D \(\left[ { - 3;1} \right) \cup \left( { - 2;3} \right) = \left[ { - 3;3} \right) \)

A \({C_E}\left( {A\backslash B} \right) = \left\{ {1;\,2;\,3;\,\,4;\,\,5;\,7} \right\} \)

B \( {C_E}\left( {A\backslash B} \right) = \left\{ {2;\,4;\,6;\,7} \right\}\)

C \({C_E}\left( {A\backslash B} \right) = \left\{ {2;\,4;\,7} \right\} \)

D \( {C_E}\left( {A\backslash B} \right) = \left\{ {1;\,3;\,5} \right\}\)

A \( A \cap B = \left\{ 8 \right\}\)

B \( A \cap B = \emptyset \)

C \(A \cap B = R \)

D \(A \cap B = \left[ { - 9; - 7} \right) \)

A \(\left\{ {x \in Z/\,6{x^2} - 7x + 1 = 0} \right\} \)

B \(\left\{ {x \in Z/\,\left| x \right| < 1} \right\}. \)

C \(\left\{ {x \in Q/\,{x^2} - 4x + 2 = 0} \right\}. \)

D \(\left\{ {x \in Z/\,{x^2} - 4x + 3 = 0} \right\}. \)

A {0}

B {0; 1}

C {1; 2}

D {1; 5}

A 0

B 3

C 2

D 1

A \( \emptyset \)

B (-7;3)

C (-7;-4)

D (-7;-4]

A \( \left( {A\backslash B} \right) \cap \left( {B \cup C} \right) = \left\{ 8 \right\}\)

B \( \left( {A\backslash B} \right) \cap \left( {B \cup C} \right) = \emptyset  \)

C \( \left( {A\backslash B} \right) \cap \left( {B \cup C} \right) = \left( { - 6;8} \right] \)

D \(\left( {A\backslash B} \right) \cap \left( {B \cup C} \right) = \left( { - 6; - 3} \right)  \)

A {2; 4}

B {4; 5}

C {2}

D {3}

A \( B\backslash A = \emptyset . \)

B \(A \cap B = A \cup B.  \)

C \(A\backslash B = \emptyset .  \)

D \( A \cup B = \left( { - 4;4} \right) \cup \left\{ 6 \right\} \)

A 42

B 44

C 46

D 50

A a) \(  A \cup {C_R}B = \left( { - \infty ;0} \right] \cup \left[ {2; + \infty } \right);{C_R}A \cap B = \left( {0;2} \right);{C_R}\left( {A \cup B} \right) = \left( { - \infty ; - 1} \right) \cup \left[ {2; + \infty } \right)\)

b) \(A \cup {C_R}B = \left( { - \infty ; - 1} \right] \cup \left[ {0;3} \right);{C_R}A \cap B = \left( { - 1;0} \right) \cup \left[ {3; + \infty } \right);{C_R}\left( {A \cup B} \right) = \left( { - \infty ; - 1} \right]  \)

B a) \(A \cup {C_R}B = \left( { - \infty ;0} \right] \cup \left[ {2; + \infty } \right);{C_R}A \cap B = \left( {0;2} \right);{C_R}\left( {A \cup B} \right) = \left( { - \infty ; - 1} \right] \cup \left[ {2; + \infty } \right)  \)

b) \( A \cup {C_R}B = \left( { - \infty ; - 1} \right] \cup \left[ {0;3} \right);{C_R}A \cap B = \left( { - 1;0} \right) \cup \left[ {3; + \infty } \right);{C_R}\left( {A \cup B} \right) = \left( { - \infty ; - 1} \right) \)

C a) \(  A \cup {C_R}B = \left( { - \infty ;0} \right] \cup \left[ {2; + \infty } \right);{C_R}A \cap B = \left[ {0;2} \right];{C_R}\left( {A \cup B} \right) = \left( { - \infty ; - 1} \right] \cup \left[ {2; + \infty } \right)\)

b) \( A \cup {C_R}B = \left( { - \infty ; - 1} \right] \cup \left[ {0;3} \right);{C_R}A \cap B = \left( { - 1;0} \right) \cup \left[ {3; + \infty } \right);{C_R}\left( {A \cup B} \right) = \left( { - \infty ; - 1} \right) \)

D a) \( A \cup {C_R}B = \left( { - \infty ;0} \right] \cup \left[ {2; + \infty } \right);{C_R}A \cap B = \left( {0;2} \right);{C_R}\left( {A \cup B} \right) = \left( { - \infty ; - 1} \right] \cup \left[ {2; + \infty } \right) \)

b) \( A \cup {C_R}B = \left( { - \infty ; - 1} \right] \cup \left[ {0;3} \right);{C_R}A \cap B = \left( { - 1;0} \right) \cup \left[ {3; + \infty } \right);{C_R}\left( {A \cup B} \right) = \left( { - \infty ; - 1} \right] \)