Inequalities Review Name: Key Block: Multiple Choice: Write the letter that corresponds to the correct answer in the space provided next to each question. (1 mark each) 1. Mr. Magee asked his class to write an inequality to represent the solution set for the number line below. Erik x<3 -5-4-3-2-1 0 1 2 3 4 5 Marissa x>3 Which students correctly represented the solution set given by the graph? Laurie 3x a) All four students b) Erik and Steven c) Marissa and Laurie d) Erik m>-9 (b) m=-9 x c) m=1 10 d) m=-1/ mode b) 31 9 c) 32 10 d) 33 11 2. Which number is NOT a solution for the inequality m+5>-4 a) m=9 3. Jeff had a bad game. He made at most shots. Which number is NOT a good guess for the actual number of shots he stopped? 8 4. John has been told that the meeting he will be attending will be at least 3 hours. If x represents the time in hours, which inequality best represents this situation? a) x<3 b) x≤3 c) x>3 dx≥3 Fill in the blank with the appropriate word(s) or numbers that make it a true statement. (open, closed, equation, inequality, boundary point, solution, zero) 5. The Solution may or may not include the boundary point. 6. A(n) inequality that may not be equal. is a mathematical expressions comparing expressions 7. A(n) closed circle/dot means the boundary point is part of the solution. 4> X 8. "4 is greater than x" is written algebraically as Written Response Part A: Identify and explain the error in the following. Then, write the correct solution, 4m+26 -2 -2 4m4 no flip 14/4 m> 1 4m+226 -2 -2 4m 24 4 4 Part B: Complete the chart: IN WORDS Three is greater than X A number is greater than -4. a # is less than -1 or equal to at is largu than 5 a# is greater than or = to O, and less than 4 GRAPHICALLY < 3 -4 087654321 0 12 33101234 5 6 7 8 9 10 ALGEBRAICALLY 3> x (or x23) X >-4 x>5 Part C: Write an inequality for each situation and use it to answer the question. 1) Two full water storage tanks are being drained for maintenance. The first tank holds 800 L of water and drains at a rate of 18 L/min. The second tank holds 500 L and drains at 7 L/min. When will the first tank contain less water than the second? Use "t" for time, 800-18t < 500-7t +18+ -500 +18t t> 27.27 min 300 lit first tank contains less than second after bein chaining for 27.77 mins. 300 2) The student council is considering two different companies to print the school's yearbooks. Great Graphics charges $250 plus $12.25 per book. Print Express charges $900 plus $9.50 per book. How many orders for yearbooks would make Print Express the better option? Use "Y" for number of yearbooks. less marey Great G. Print E. 250+12.254 > 900+9.54 -954 -250 -250 2.754 > 650 y > 236.36 -9.54 Print Exprus, is better if 237 or mar yearhiks one soed! A

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