Solving inequalities

Halloween Warm up • There are 25 students in my class 17 said they would go trick or treating this year, 20 said they would go to a haunted house and would not either How many students will both this Halloween? Trick or Treat Haunted House Solution Trick or Treat 16 Haunted House Neither > < Solving Inequalities < < < < Lesson 4-5 > < An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: < : less than ≤ : less than or equal to > : greater than ≥ : greater than or equal to What Inequalities mean? • A mathematical sentence that uses one of the inequality symbols to state the relationship between two quantities Graphing Inequalities • When we graph an inequality on a number line we use open and closed circles to represent the number < < Plot an open circle ≤ ≥ Plot a closed circle x -1 -25 -20 -15 -10 -5 10 15 20 25 More Examples 2h + ≤ 24 -8 -8 2h ≤ 16 2 All numbers less than (including 8) h≤8 -25 -20 -15 -10 -5 10 15 20 25 Your Turn… • Solve the inequality and graph the answer x + > -4 6d > 24 2x - < 14 -2c – < 2 x > -7 d>4 x < 11 c < -3 Homework • Complete lesson 4-5 # 2-22 evens