Exam 10: Inequalities in One and Two Variables

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Find the solution set for the inequality. -|x| < 1

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D

Solve the inequality and give the solution set. -Solve the inequality and give the solution set. -

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Graph the inequality. -x > Graph the inequality. -x >

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Find the solution set for the equation. -Find the solution set for the equation. -

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Find the solution set for the inequality. -5z - 1 > 4z - 5

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Solve the problem. -The population of an endangered species of fish were moved to a controlled habitat to encourage the species to increase in numbers. When they were moved there were 52 members in the population. In 18 months there were 214 members in the population, with a growth pattern that was approximately linear. Draw a graph that fits this data. On the graph, darken the part of the graph where the population is less than or equal to 100 members. Estimate, to the nearest month, how many months passed before the population reached 100. Solve the problem. -The population of an endangered species of fish were moved to a controlled habitat to encourage the species to increase in numbers. When they were moved there were 52 members in the population. In 18 months there were 214 members in the population, with a growth pattern that was approximately linear. Draw a graph that fits this data. On the graph, darken the part of the graph where the population is less than or equal to 100 members. Estimate, to the nearest month, how many months passed before the population reached 100.

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Solve the inequality and graph the solution on the number line. -Solve the inequality and graph the solution on the number line. -

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Solve the inequality and give the solution in interval notation. -4x - 1 > 23 or -x + 9 ≥-9

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Graph the inequality. -Graph the inequality. -

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Solve the problem. -From the Venn diagram, determine the set B. Solve the problem. -From the Venn diagram, determine the set B.

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Solve the inequality and give the solution in interval notation. -a - 5 < -9

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Find the solution set for the equation. -|t + 3| = 0

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Solve the problem. -Greg is opening a car wash. He estimates his cost equation as C = 6000 + 0.06x and his revenue equation as R = 1.95x, where x is the number of cars washed in a six month period. Find the minimum number of cars that Need to be washed in a six month period to make a profit.

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Determine the solution to the system of inequalities. -Determine the solution to the system of inequalities. -

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Solve the inequality. -a - 2 < -6

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Determine the solution to the system of inequalities. -Determine the solution to the system of inequalities. -

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Find the solution set for the inequality. -|7m + 9| + 8 ≤14

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Determine the solution to the system of inequalities. -Determine the solution to the system of inequalities. -

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Find A ᴗ B and A ∩ B for the sets A and B. -A = {-3, -2, -1}, B = {0, 1, 2}

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Find the solution set for the inequality. -Find the solution set for the inequality. -

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