Solving Compound Inequalities

Critical Thinking Skill:

Explicitly assess information and draw conclusions

Warm-Up:Use the numbers -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 to answer the following:

1). Which numbers are less than or equal to -1 and greater than or equal to -2?

2). Which numbers are greater than 1 or less than -3?

3). Which numbers are greater than or equal to -2 and less than or equal to 2?

4). Which numbers are less than -1 or greater than 3?

Solving Compound InequalitiesCompound inequalities are two inequalities connected by AND or OR

Graph:

1: -1 < x < 3 (and) 2 : x < -3 or x > 3

Write an inequality that represents the set of number and graph it.

3: All real numbers that are greater than or equal to -2 and less than 3.

4: All real numbers that are less than or equal to -3 or greater than 0.

Solve and graph.

5: 4 > 3x + 1 > -2 6: -3x + 5 > 8 OR -x < -4

1.) Comfort Middle School keeps its classrooms within a comfortable temperature range of 65°F to 73°F throughout the school year. Graph the temperatures that are within the comfortable range?

Word Problems

2.) Every day, Courtney drives at least 23 miles but never more than 35 miles. Graph the compound inequality to show the number of miles Courtney drives on any given day?

Solve .1. -5 < 2x + 3 < 7 2  -3 < -1 - 2x < 6

3. 6x - 5 < 7 or 8x + 1 > 25

Extra practice...