2. match the inequality symbol with its meaning by filling in the blank. the symbol “” means ______ a. less than b. greater than c. less than or equal to d. greater than or equal to 5. match the inequality symbol with its meaning by filling in the blank. the symbol “≥” means ______ a. less than b. greater than c. less than or equal to d. greater than or equal to 6. match the verbal phrase with the mathematical representation by filling in the blank. “x is at most 7” can be written as: ______ a. x 7 b. x 12 b. x 5 b. y

Question

2. match the inequality symbol with its meaning by filling in the blank. the symbol “<” means ______ a. less than b. greater than c. less than or equal to d. greater than or equal to 3. match the inequality symbol with its meaning by filling in the blank. the symbol “≤” means ______ a. greater than b. less than c. less than or equal to d. greater than or equal to 4. match the inequality symbol with its meaning by filling in the blank. the symbol “>” means ______ a. less than b. greater than c. less than or equal to d. greater than or equal to 5. match the inequality symbol with its meaning by filling in the blank. the symbol “≥” means ______ a. less than b. greater than c. less than or equal to d. greater than or equal to 6. match the verbal phrase with the mathematical representation by filling in the blank. “x is at most 7” can be written as: ______ a. x > 7 b. x < 7 c. x ≤ 7 d. x ≥ 7 7. match the verbal phrase with the mathematical representation by filling in the blank. “x is at least 12” can be written as: ______ a. x > 12 b. x < 12 c. x ≥ 12 d. x ≤ 12 8. match the verbal phrase with the mathematical representation by filling in the blank. “y is greater than 5” can be written as: ______ a. y > 5 b. y < 5 c. y ≥ 5 d. y ≤ 5 9. match the term with its definition by filling in the blank. a ______ is a region of a graph that satisfies a system of inequalities. a. solution set b. feasible region c. boundary line d. critical point 10. match the graph feature with what it represents by filling in the blank. a ______ (on a graph) represents a boundary that is included in the solution. a. solid line b. dashed line c. shaded region d. point 11. match the term with its definition by filling in the blank. an inequality containing an absolute value is called a(n) ______ a. linear inequality b. quadratic inequality c. absolute value inequality d. rational inequality

Accepted Answer

### Question 2 (Matching inequality symbol "<") # Brief Explanations: The symbol "<" in mathematics represents "less than". So we match it with the meaning "less than". # Answer: B. less than ### Question 3 (Matching inequality symbol "≤") # Brief Explanations: The symbol "≤" means "less than or equal to" as it combines the concepts of being less than and being equal to a value. # Answer: C. less than or equal to ### Question 4 (Matching inequality symbol ">" ) # Brief Explanations: The symbol ">" is used to denote that one quantity is "greater than" another quantity in mathematical inequalities. # Answer: B. greater than ### Question 5 (Matching inequality symbol "≥") # Brief Explanations: The symbol "≥" is defined as "greater than or equal to" since it includes both the cases of being greater than and equal to a given value. # Answer: D. greater than or equal to ### Question 6 ("x is at most 7" to mathematical expression) # Brief Explanations: "At most" means the value of $ x $ can be 7 or less than 7. In mathematical terms, this is represented as $ x \leq 7 $. # Answer: B. $ x \leq 7 $ ### Question 7 ("x is at least 12" to mathematical expression) # Brief Explanations: "At least" implies that the value of $ x $ can be 12 or greater than 12. Mathematically, this is written as $ x \geq 12 $. # Answer: C. $ x \geq 12 $ ### Question 8 ("y is greater than 5" to mathematical expression) # Brief Explanations: When we say "y is greater than 5", in inequality notation, we use the ">" symbol. So it is written as $ y > 5 $. # Answer: A. $ y > 5 $ ### Question 9 (Matching term "feasible region") # Brief Explanations: A feasible region in the context of a system of inequalities is the region of a graph that satisfies all the inequalities in the system. So we match the definition to "feasible region". # Answer: B. feasible region ### Question 10 (Matching graph feature "solid line") # Brief Explanations: In graphing inequalities, a solid line is used to represent a boundary that is included in the solution set (when the inequality is "≤" or "≥"). So the graph feature "solid line" represents a boundary that is included in the solution. # Answer: A. boundary that is included in the solution ### Question 11 (Matching term "absolute value inequality") # Brief Explanations: An inequality that contains an absolute value expression is specifically called an absolute value inequality. So we match the term with this definition. # Answer: C. absolute value inequality

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Question 2 (Matching inequality symbol "<")

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Question 3 (Matching inequality symbol "≤")