Math With Mrs. Swing
3047365-11430000Intriguing InequalitiesName:______________________________________Part A - Use guess and check to find a few solutions to the inequalityPart B – Solve your inequality using inverse operations. Write the resulting inequality.Part C - Plug your solutions from part A with your final inequality from part B – Do they match?InequalityA – Guess and checkB - SolveC – Match?-x > 10x + 2 < 1x – 2 < 1x-2 > 1x2 > 1x2 > -1x-2 > -1-2x < 42x < 4-2x < -41) What do all the inequalities that didn’t “match” have in common (hint: focus on the inverse operations)?2) For each inequality that doesn’t match, write an inequality to represent the ACTUAL solution set (in the part A box)3) What is the difference between the incorrect solution sets from Part C (inverse operations) and the ACTUAL solution sets?4) Write a rule for solving one-step inequalities.Practice - Solve each inequality and graph the solution set on a number line.5 – 2x > 13Solve:Did you need to flip the inequality? Yes NoGraph:x3+2≤ -3Solve:Did you need to flip the inequality? Yes NoGraph:– 2x > 26Solve:Did you need to flip the inequality? Yes NoGraph:-x ≥ 3Solve:Did you need to flip the inequality? Yes NoGraph:x-5-6≤ 1Solve:Did you need to flip the inequality? Yes NoGraph:10 > 4 - xSolve:Did you need to flip the inequality? Yes NoGraph:7. Caden brings $318 and goes shopping for shirts. Shirts cost $14 and he buys s shirts.a) Write an expression to represent how much money he has left after shopping.b) Caden needs to make sure that he has AT LEAST $100 left when he is done shopping.List some possible numbers of shirts he could buy and still have $100 left.Write and solve an inequality for t to represent how many shirts he can buy. Write your solution set as a complete sentence in the context of the problem ................
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