M60 Day Solving Inequalities

Warm-up 1. Solve. 2. Scott’s averaging 60 mph on his drive from St. Louis, MO to Memphis, TN. If the total trip is 285 miles, how long should he expect the drive to take? 3. Marissa has five exam scores of 75, 82, 90, 85, and 77 in her chemistry class. What score does she need on the final exam to have an average of 80 (to earn a B – 100 max points for the exam).

Notation Finite – elements can be counted example: {17, 18, 25} Infinite – elements cannot be counted “To infinity and beyond” (Buzz Lightyear, Toy Story) example: {…-3, -2, -1, 0, 1, 2, -3…}

Intervals: Types & Notation Slide 6 in 3.4

Linear Inequalities 10 < < (2) < 15(2) < All TRUE and the inequality’s “sense” remained the same … but WAIT there’s more…

Solving Linear Inequalities Multiplying and dividing both sides of an inequality by a negative number causes the “sense” of the inequality to be reversed.

Linear Equation versus Inequality When solving: Linear Equations – generally have one solution Linear Inequality – generally have an infinite number of solutions.

Example #1 Solve the inequality. Write the solution using interval notation and then graph the solution set.

Example #2 Solve the inequality. Write the solution in algebraic notation and graph the solution set.

Try it… Solve the inequality and graph the solution set. Write the solution using interval notation.

Compound Inequalities Compounds have 3 PARTS…what you do to one part you have to do to ALL the parts! Solve the COMPOUND inequality. Write the solution using interval notation and graph the solution set.

Compound inequality Solve the COMPOUND inequality. Write the solution using interval notation and graph the solution set.

Try it… Solve the COMPOUND inequality. Write the solution using interval notation and graph the solution set.

Lesson 4.1 Cartesian Coordinates

Cartesian Coordinate System

Graphing Create a table of ordered pairs. Graph the resulting sets of ordered pairs.

Coming up… Day 13 Reading Guide Quiz 5 Due November 8 th Test #2 Due November 15 th Week 7, Hawkes grade adjustment

Exit Ticket 1. Solve the inequality. Write the solution using interval notation and graph the solution set. 2.Solve the compound inequality. Write the solution using interval notation and graph the solution set.