Exam 9: Inequalities and Absolute Value

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Graph the solution of the system of linear inequalities. - {y≥x+2y≥5−x\left\{\begin{array}{l}y \geq x+2 \\y \geq 5-x\end{array}\right.  Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y \geq x+2 \\ y \geq 5-x \end{array}\right.

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Fill in the blank with one of the words or phrases listed below. compound inequality   solution  system of linear inequalities   absolute value   union   intersection -A number's distance from 0 is called its .

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List the elements of the set. -If A={x∣x\mathrm { A } = \{ \mathrm { x } \mid \mathrm { x } is an odd integer }\} and B={9,11,12,14}\mathrm { B } = \{ 9,11,12,14 \} , list the elements of A∩B\mathrm { A } \cap \mathrm { B } .

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Solve the compound inequality. Graph the solution set. - x>3 or x<3x > 3 \text { or } x < 3  Solve the compound inequality. Graph the solution set. - x > 3 \text { or } x < 3

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Solve the absolute value equation. - ∣x∣−3=6| x | - 3 = 6

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Solve the compound inequality. Graph the solution set. - 10<5x≤3510<5 x \leq 35  Solve the compound inequality. Graph the solution set. - 10<5 x \leq 35

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Solve the equation or inequality. - ∣8t+5∣=−8| 8 t + 5 | = - 8

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List the elements of the set. -If A={x∣xA = \{ x \mid x is an even integer }\} and B={27,29,31,33}B = \{ 27,29,31,33 \} , list the elements of A∩BA \cap B .

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Solve the equation or inequality. - ∣9x+182∣=9\left| \frac { 9 x + 18 } { 2 } \right| = 9

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Solve the absolute value equation. - ∣6x+7∣+5=2| 6 x + 7 | + 5 = 2

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Solve the compound inequality. Graph the solution set. - x≤−2x \leq - 2 and x≥−3x \geq - 3  Solve the compound inequality. Graph the solution set. - x \leq - 2  and  x \geq - 3

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Graph the inequality. - 13x−14y≤−1\frac { 1 } { 3 } x - \frac { 1 } { 4 } y \leq - 1  Graph the inequality. - \frac { 1 } { 3 } x - \frac { 1 } { 4 } y \leq - 1

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Graph the inequality. - y≥3xy \geq 3 x  Graph the inequality. - y \geq 3 x

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Graph the linear inequality. - 2x+4y>−82 x+4 y>-8  Graph the linear inequality. - 2 x+4 y>-8

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Graph the solution of the system of linear inequalities. - {y<3x+7y≥−x+8\left\{\begin{array}{l}y<3 x+7 \\y \geq-x+8\end{array}\right.  Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y<3 x+7 \\ y \geq-x+8 \end{array}\right.

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Solve the absolute value equation. - ∣2x+7∣=6| 2 x + 7 | = 6

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Solve the inequality. Graph the solution set. -Solve the inequality. Graph the solution set. -

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Fill in the blank with one of the words or phrases listed below. compound inequality   solution  system of linear inequalities   absolute value   union   intersection -The statement " x<5x < 5 or x>7x > 7 " is called a(n)_____

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Solve the compound inequality. Graph the solution set. - 8x<32 and x+8>98 x<32 \text { and } x+8>9  Solve the compound inequality. Graph the solution set. - 8 x<32 \text { and } x+8>9

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Solve the inequality. Graph the solution set. - ∣3k+2∣+2>8| 3 k + 2 | + 2 > 8  Solve the inequality. Graph the solution set. - | 3 k + 2 | + 2 > 8

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