Вопрос 1.

\(x+4 \; >0 \)

\( (-\infty ;4) \)	\( [4;+\infty ) \)	\( (-4; +\infty ) \)	\( [-4; +\infty ) \)	\( (-4;0) \)	\( (-\infty ;-4) \)

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Вопрос 2.

\( 5+x \; \geq 2 \)

\( [2;5] \)	\( (-\infty;3) \)	\( (-3; +\infty) \)	\( [3; +\infty) \)	\( (-\infty;-3) \)	\( [-3; +\infty) \)

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Вопрос 3.

\( 18+x \; \leq -7 \)

\( (-7;18) \)	\( (-\infty;-25] \)	\( (-\infty;11] \)	\( [-25;+ \infty) \)	\( (-25;+ \infty) \)	\( (-\infty;-25) \)

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Вопрос 4.

\( 91-x \; >15 \)

\( (-76;+\infty) \)	\( (-\infty;-76) \)	\( (-\infty;76] \)	\( (76;+\infty] \)	\( (-\infty;76) \)	\( (76;+\infty) \)

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Вопрос 5.

\( 5-7x \; \leq 2x+41 \)

\( (-\infty;4) \)	\( (-\infty;4] \)	\( (-4;\infty) \)	\( (-\infty;-4] \)	\( [-4;\infty) \)	\( [4;\infty) \)

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Вопрос 6.

\(5(7-x) \;\geq 3x-(6-2x) \)

\( (-\infty;4,1) \)	\( (-\infty;4,1] \)	\( (-\infty;-4,1] \)	\( (-4,1;\infty) \)	\( [-4,1;\infty) \)	\( (4,1;\infty) \)

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Вопрос 7.

\(-7(2x-3) \; \leq 3-8x-(10-8x) \)

\( (-\infty;-2) \)	\( (-\infty;-2] \)	\( [-2;+\infty) \)	\( [2;+\infty) \)	\( (2;+\infty) \)	\( (-\infty;2] \)

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Вопрос 8.

\(4-(5-7x) \; \geq 7-8(3x-2) \)

\( (\dfrac{24}{31};+\infty ) \)	\( [\dfrac{5}{7};+\infty ) \)	\( (-\infty; \dfrac{31}{24} ) \)	\( ( -\infty; \dfrac{24}{31} ) \)	\( [\dfrac{31}{24};+\infty ) \)	\( [\dfrac{24}{31};+\infty ) \)

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Вопрос 9.

\( (x-5)(x-1) \; >0 \)

\( (-\infty;1] \; \bigcup \;[5;+ \infty) \)	\( (-5;-1) \)	\( (5;+\infty) \)	\( (-\infty;1) \; \bigcup \;(5;+ \infty) \)	\( (1;5) \)	\( (-\infty;1] \)

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Вопрос 10.

\( (x-2)(x-15) \; \geq 0 \)

\( (-\infty;2)\bigcup (15;+\infty) \)	\( [2;15] \)	\( (2;15) \)	\( (-\infty;-2)\bigcup (15;+\infty) \)	\( (-\infty;-2]\bigcup [15;+\infty) \)	\( (-\infty;2]\bigcup [15;+\infty) \)

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Вопрос 11.

\( (x+7)(x-4) \; \geq 0\)

\( (-\infty;-7] \bigcup [4;+ \infty) \)	\( (-\infty;-7) \bigcup (4;+ \infty) \)	\( [-7;4] \)	\( (-7;4) \)	\( (-\infty;4) \bigcup (7;+ \infty) \)	\( (-\infty;4] \bigcup [7;+ \infty) \)

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Вопрос 12.

\( (x+17)(x-14) \; < 0 \)

\( (-\infty;-17] \bigcup [14;+ \infty) \)	\( (-\infty;-17) \bigcup (14;+ \infty) \)	\( [-17;14] \)	\( (-17;14) \)	\( (-\infty;14) \bigcup (17;+ \infty) \)	\( (-\infty;14] \bigcup [17;+ \infty) \)

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Вопрос 13.

\( (x+12)(x+99) \; > 0\)

\( (-\infty;-12] \bigcup [99;+ \infty) \)	\( (-\infty;-99) \bigcup (-12;+ \infty) \)	\( [-99;-12] \)	\( (-99;-12) \)	\( (-\infty;12) \bigcup (99;+ \infty) \)	\( (-\infty;12] \bigcup [99;+ \infty) \)

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Вопрос 14.

\( (x+13)(x-13) \; < 0\)

\( (-\infty;-13] \bigcup [13;+ \infty) \)	\( (-\infty;-13) \bigcup (-13;+ \infty) \)	\( [-13;13] \)	\( (-13;13) \)	\( (-\infty;-13) \bigcup (-13;+ \infty) \)	\( (-\infty;13) \bigcup (13;+ \infty) \)

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Вопрос 15.

\( (x+6)(x-6) \;\leq 0\)

\( (-\infty;-6] \bigcup [6;+ \infty) \)	\( (-\infty;-6) \bigcup (-6;+ \infty) \)	\( [-6;6] \)	\( (-6;6) \)	\( (-\infty;-6) \bigcup (-6;+ \infty) \)	\( (-\infty;6) \bigcup (6;+ \infty) \)

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Вопрос 16.

\( (7-x)(x-6) \;\leq 0\)

\( [6;7] \)	\( (-\infty;-7) \bigcup (6;+ \infty) \)	\( [-7;6] \)	\( (-6;7) \)	\( (-\infty;6) \bigcup (7;+ \infty) \)	\( (-\infty;6] \bigcup [7;+ \infty) \)

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Вопрос 17.

\( (2x-9)(3x-5) \;\leq 0\)

\( (\dfrac{3}{5};4,5) \)	\( (-\infty;\dfrac{5}{3}) \bigcup (4,5;+ \infty) \)	\( (\dfrac{5}{3};4,5) \)	\( (-\infty;\dfrac{5}{3}] \bigcup [4,5;+ \infty) \)	\( [\dfrac{5}{3};4,5] \)	\( [\dfrac{3}{5};4,5] \)

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Вопрос 18.

\( (2+7x)(1-5x) \; > 0\)

\( [-\dfrac{2}{7};0,2] \)	\( (-\infty;-\dfrac{2}{7}) \bigcup (0,2;+ \infty) \)	\( (-\dfrac{2}{7};-0,2) \)	\( (-\dfrac{2}{7};0,2) \)	\( (-\infty;-0,2) \bigcup (\dfrac{2}{7};+ \infty) \)	\( (-\infty;-\dfrac{2}{7}) \bigcup (-0,2;+ \infty) \)

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Вопрос 19.

\( (41+5x)(\dfrac{1}{3}x- \dfrac{3}{8})\; \geq 0\)

\( [-\dfrac{41}{5};\dfrac{9}{8}] \)	\( (-\infty;-\dfrac{41}{5}) \bigcup (\dfrac{9}{8};+ \infty) \)	\( (-\infty;-8,2] \bigcup [1,125;+ \infty) \)	\( (-\infty;-8,2) \bigcup (1,125;+ \infty) \)	\( (-\dfrac{41}{5};\dfrac{9}{8}) \)	\( (-\infty;-\dfrac{41}{5}) \bigcup (-\dfrac{9}{8};+ \infty) \)

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Вопрос 20.

\( \dfrac{x-3}{x-8}\; > 0\)

\( [-3;-8] \)	\( (3;8) \)	\( (-\infty;-8) \bigcup (-3;+ \infty) \)	\( (-\infty;3) \bigcup (8;+ \infty) \)	\( (-\infty;-8] \bigcup [-3;+ \infty) \)	\( (-\infty;3] \bigcup [8;+ \infty) \)

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Вопрос 21.

\( \dfrac{x-1}{x-11}\; < 0\)

\( (-\infty;1] \bigcup [11;+ \infty) \)	\( [1;11] \)	\( (-\infty;-11) \bigcup (-1;+ \infty) \)	\( (-\infty;1) \bigcup (11;+ \infty) \)	\( (-\infty;-11] \bigcup [-1;+ \infty) \)	\( (1;11) \)

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Вопрос 22.

\( \dfrac{x+10}{x-3}\; > 0\)

\( (-\infty;-10) \bigcup (3;+ \infty) \)	\( [-10;3] \)	\( (-\infty;-10] \bigcup [3;+ \infty) \)	\( (-\infty;3) \bigcup (10;+ \infty) \)	\( (3;+ \infty) \)	\( (-10;3) \)

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Вопрос 23.

\( \dfrac{x-19}{x-2}\; \geq 0\)

\( (-\infty;2) \bigcup (19;+ \infty) \)	\( [2;19] \)	\( (-\infty;2) \bigcup [19;+ \infty) \)	\( (-\infty;2] \bigcup [19;+ \infty) \)	\( (2;19] \)	\( (2;19) \)

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Вопрос 24.

\( \dfrac{x+123}{x+27}\; \geq 0\)

\( [-123;-27) \)	\( [-123;-27] \)	\( (-123;-27] \)	\( (-\infty;-123] \bigcup [-27;+ \infty) \)	\( (-\infty;-123] \bigcup (-27;+ \infty) \)	\( (-\infty;-123) \bigcup (-27;+ \infty) \)

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Вопрос 25.

\( \dfrac{x-4}{x-10}\; \leq 0\)

\( (4;10) \)	\( [4;10] \)	\( (-\infty;-4] \bigcup (10;+ \infty) \)	\( (-\infty;4] \bigcup [10;+ \infty) \)	\( (-\infty;4] \bigcup (10;+ \infty) \)	\( [4;10) \)