# Pre-Calculus Lesson 7: Solving Inequalities Linear inequalities, compound inequalities, absolute value inequalities, interval notation

• View
234

2

Embed Size (px)

### Text of Pre-Calculus Lesson 7: Solving Inequalities Linear inequalities, compound inequalities, absolute...

• Pre-CalculusLesson 7: Solving InequalitiesLinear inequalities, compound inequalities, absolute value inequalities, interval notation

• Number Line< and > are shown with open circles x4

• Number Line< and > are shown with open circles x4

• Number Line< and > are shown with open circles x4

• Number Line and are shown with closed circles x 2x 4

• Number Line and are shown with closed circles x 2x 4

• Number Line and are shown with closed circles x 2x 4

• Multiplication Property of InequalityWhen multiplying or dividing by a negative number, FLIP the INEQUALITY SIGN!

• Example:

• Example:

• Example:

• Example:

• Example:

• Compound Inequalities

• Conjunction Example #1

• Conjunction Example #1

• Conjunction Example #1

• Conjunction Example #1

• Conjunction Example#2

• Conjunction Example#2

• Conjunction Example#2

• Disjunction Example#1

• Disjunction Example#1

• Disjunction Example#2

• Disjunction Example#2

• Disjunction Example#2

• Absolute Value Inequalities

• Less ThanRewrite the inequality as a conjunction.-a < x < aSolve.

• Example

• Example

• Example

• Example

• Greater ThanRewrite the inequality as a disjunction.x < -a or x > aSolve.

• Example

• Example

• Example

• Example

• Interval NotationWhen using interval notation:( means "not included" or "open".[ means "included" or "closed".The inequality would be written as the interval The inequality would be written as the interval

• Which statement below is the correct interval notation for the situation depicted in this number line graph? http://www.regentsprep.org/regents/math/ALGEBRA/AP1/IntPrac.htm

• Which statement below is the correct interval notation for the situation depicted in this number line graph? http://www.regentsprep.org/regents/math/ALGEBRA/AP1/IntPrac.htm

• Write the following statement as an inequality:

x < -3 or 0 < x < 2 or x > 4x < -3 or 0 < x < 2 or x > 4x < -3 or 0 < x < 2 or x > 4http://www.regentsprep.org/regents/math/ALGEBRA/AP1/IntPrac.htm

• Write the following statement as an inequality:

x < -3 or 0 < x < 2 or x > 4x < -3 or 0 < x < 2 or x > 4x < -3 or 0 < x < 2 or x > 4http://www.regentsprep.org/regents/math/ALGEBRA/AP1/IntPrac.htm

• Write the following inequality as interval notation: -2 < x < 1 or x > 1

http://www.regentsprep.org/regents/math/ALGEBRA/AP1/IntPrac.htm

• Write the following inequality as interval notation: -2 < x < 1 or x > 1

http://www.regentsprep.org/regents/math/ALGEBRA/AP1/IntPrac.htm

• Practice QuestionsSolve each inequality, express the answer in interval notation, and graph the solution on the number line.

************************** ##### Domain and Interval Notation. Domain The set of all possible input values (generally x values) We write the domain in interval notation Interval notation
Documents ##### 0-1: Set & Interval Notation Objective: Review set and interval notation ©2002 Roy L. Gover (roygover@att.net)roygover@att.net Modified Mike Efram (8/23/2004)
Documents ##### Function Notation and Interval Notation and...notation, interval notation Objectives: I understand function notation and know what it means to evaluate a function
Documents ##### 1 1.1 - Functions. 2 | -2 Interval Notation Algebraic Notation GraphInterval Notation x > 3 -1 â‰¤ x < 5 x < -2 or x â‰¥ 4 |3|3 | |5|5 |4|4
Documents ##### Sci. Notation Linear Inequalities the systems of Linear Inequalities ys Example 4: 3y 4x + 1 10 + y 14 Title Microsoft Word - Sci. Notation Linear Inequalities Notes.docx Author Steven
Documents ##### III. Inequalities (4 Days) VII. Solving Quadratic ... Quadratic Equations by Factoring ... Writing Linear Equations (6 Days) ... Intersection of two Sets Interval Notation
Documents Documents