Lesson 10: Solving Inequalities Instructor: Mrs. Young Texas Algebra I Lesson 10: Solving Inequalities Instructor: Mrs. Young

Lesson Objectives A.7a, A.7b The student will be able to: Define inequality and explain the differences between an inequality and an equation; Analyze situations and formulate inequalities to solve problems; Investigate different methods for solving inequalities.

What is an inequality?  

Solving Inequalities  

Verbal Representations Key words: as much as, up to, at most….≤ (less than or equal to) As little as, at least, no more than…≥ (greater than or equal to) Greater than, more than…> (greater than) Less than, fewer than…< (less than) Not equal to, except, excluding…≠ (not equal to)

Word Problems In a math class at the community college, only five chapter exams are given and an 80% must be achieved in order to take the state exit exam. Pam has completed the first four exams with scores of 71, 84, 79, and 81. Write an inequality to find the minimal score Pam can make on the fifth exam in order to take the state exit exam?

One more example… You and your family attend your brother’s championship baseball game.  Between innings you decide to go to the snack stand.  You go to the snack stand with $15 and find that sodas are $2.50 and that popcorn is $1.75.  Write and graph an inequality that models the numbers of sodas and bags of popcorn that can be bought.

Lesson Objectives A.7a, A.7b The student will be able to: Define inequality and explain the differences between an inequality and an equation; Analyze situations and formulate inequalities to solve problems; Investigate different methods for solving inequalities.