Inequalities
Videos on left column of this page show how to solve and graph inequalities in one variable—solving on a number line, compound inequalities, absolute value inequalities. Videos on right column show how to solve nonlinear polynomial and rational inequalities.
At the bottom are videos on solving and graphing inequalities with 2 variables on the xy plane
Parts 1-4 cover absolute value inequalities with < or ≤
ABI1: Part 1: http://youtu.be/dArQeGaXOh0
Intro and Problems containing less than symbol.
ABI2: Part 2: http://youtu.be/s5Jr6RJBl28
Problems containing less than symbol.
ABI3: Part 3: http://youtu.be/SSWUbC9fQoQ
Problems containing less than symbol.
ABI4: Part 4: http://youtu.be/FbJNtnthSR0
Tricky problems containing less than symbol.
Parts 5-8 absolute value inequalities with > or ≥
ABI5: Part 5: http://youtu.be/pqcCcj1UMPw
Problems containing greater than symbol.
ABI6: Part 6: http://youtu.be/wfFdzihH87s
Problems containing greater than symbol.
ABI7: Part 7: http://youtu.be/4u-s5mB6MDU
Problems containing greater than symbol.
ABI8: Part 8: http://youtu.be/xHKgopzWzUc
Tricky problems containing greater than symbol.
Revenue Cost Profit Functions using Inequalities
RCP1: Part 1: http://youtu.be/3IpWd4AJPNo
RCP2:Part 2: http://youtu.be/ojHYUjAsdcg
Find the best Text messaging Plan using inequalities: http://youtu.be/hjwvl9AVcBw
Solving Compound Linear Inequalities with one variable
Example: 2x — 3 < 9 and x + 4 ≥ 1 (named compoundineq#.mp4)
CLI1: Compound Linear Inequalities Part 1 - Intro to compound inequalities and how to solve when "and" is used: http://youtu.be/JBjMwlyaqnw
CLI2: Compound Linear Inequalities Part 2 - More examples how to solve when "and" is used: http://youtu.be/5P3kfiHpErs
CLI3: Compound Linear Inequalities Part 3 - More examples how to solve when "and" is used (has tricky problems): http://youtu.be/HX4YVZt9mgo
CLI4: Compound Linear Inequalities Part 4 - Shows how to solve when "or" is used: http://youtu.be/ewsTyLdgryw
CLI5: Compound Linear Inequalities Part 5 - more examples showing how to solve when "or" is used (has tricky problems): http://youtu.be/S8Ul3rqVpVQ
NEW 2019: https://youtu.be/h6jSFJH6BwU
CLI6: Compound Linear Inequalities Part 6 - Shows how to solve compact compound inequalities using "and" and in the form a < mx+b <c
CLI7: Compound Linear Inequalities Part 7 - More examples solving compact compound inequalities such as: -3 < 2x+5 <4
Solving Absolute Value Inequalities (absvalineq#.mp4)
Word Problem Applications using Inequalities
IN: Interval Notation
B2: Basic Inequalities Part 2 - Properties
B3: Basic Inequalities Part 3 - Examples
B4: Basic Inequalities Part 4 - More Examples
B1: Basic Inequalities Part 1 - Intro
Solving and Graphing Linear Inequalities with one variable on a number line
Example: 2x — 3 < 9
Solving Non-linear Polynomial Inequalities such (2x — 3)(x + 4) < 0
Part 1 (Intro): http://youtu.be/xpX-Inlwx50
Part 2: http://youtu.be/OA8-prSI5do
Part 3: http://youtu.be/NxGrMPCYpZA
Part 4: http://youtu.be/IOlef9LA7fA
Part 5: http://youtu.be/9sak_TgH1Sw
Part 6: http://youtu.be/BTRJfpy6Ev8
(requires knowledge of factoring used in the Rational Root theorem which is usually covered in Pre-Calculus)
Solving Non-linear Rational Inequalities (Algebraic fractions)
Part 1 (Intro): http://youtu.be/Dn8LOZN3AG4
Part 2: http://youtu.be/GPUh86pgqO4
Part 3: http://youtu.be/D8O9HTvsMQg
Solving and Graphing Linear Inequalities with two variables on an xy plane
Examples: 2x — 3y ≥ 6; x < 7; y ≥ -3; y < 3x — 1
Graph Linear Inequalities 2 variables Part 1 - Intro
Graph Linear Inequalities 2 variables Part 2
Graph Linear Inequalities 2 variables Part 3
Graph Linear Inequalities 2 variables Part 4--special cases such as x > -2 or y ≤ 3
Graph Linear Inequalities 2 variables Part 5