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Name: __________________________________ CC Algebra 11-Introduction to Inequalities Number ______ Date_____________ Ms. Socci DO Now Consider the equation: 7 + 𝑝 = 12. 𝑝-VALUE THE NUMBER SENTENCE TRUTH VALUE Let 𝑝 = 0 7 + 0 = 12 FALSE Let 𝑝 = 4 Let 𝑝 = 1 + √2 Let 𝑝 = 1 𝜋 Let 𝑝 = 5 The solution set of an equation written with only one variable is the set of all values one can assign to that variable to make the equation a true statement. Any one of those values is said to be a solution to the equation. To solve an equation means to find the solution set for that equation. Name the solution set { x/x = } Starter Problem In writing, describe the difference between the following four expressions: x>6 x<6 Give five values that make the inequality x > 6 true. x>6 x<6 Give five values that make the inequality x < 6 true. Mini-Lesson Translate the following inequalities into written statements. Then use a calculator (not a procedure) to find 3 values that make the statement true. Inequality Example: 4x + 2 < 26 Written Translation Four times x plus 2 is less than 26. 3 values that make the statement true 5, 4, 3 6x > 42 9x < 27 7x + 1< 22 3x + 6 > 18 5x - 10 < 70 Pair or Group Practice Complete the table by filling in all of the missing cells. Written Inequality Example: Six times x plus 5 is less than or equal to 35. Write an inequality statement using symbols. 6x + 5 < 35 Three times x minus 8 is greater than sixteen. 2x - 8 < 20 Five times x minus four is less than or equal to 31. 12 + 3x > 36 Eight times x plus five is greater than 21. 20 - 2x > 6 Nine plus 3 times x is less than 33. 15 < 3x - 15 Forty-eight is greater than or equal to seven times x minus 8. 3 values that make the statement true 5, 4, 3 Name: __________________________________ Number ______ CC Algebra Lesson 11-Introduction to Inequalities Aim: How are solving inequalities different than solving equations? Solve the equation Date_____________ Solve the Inequality 1a. x 5 8 1b. x 5 8 2a. 4 x 8 2b. 4 x 8 3a. 4x 2 10 3b. 4x 2 10 4a. 15 3( x 2) 4b. 15 3( x 2) 5a. 2(4 2 x) 32 5b. 2(4 2 x) 32 Summary: Describe how the solutions of an equation and an inequality are different. ________________________________________________________________________________ ________________________________________________________________________________ _______________________________________________________________________________________