Graphing Systems of Inequalities

When graphing Systems of Inequalities you are
finding the REGION of the xy-plane that
contains ALL the ORDERED PAIRS that
make BOTH INEQUALITIES TRUE.

***************************************************

**********************Below is EXAMPLE #1******************



***********************Below is EXAMPLE #2******************

************************Below is EXAMPLE #3*******************

************************Below is EXAMPLE #4********************

*************************Below is EXAMPLE #5***************************

*****************************Below is EXAMPLE #6********************





*************************Below is EXAMPLE #7***************************

****************************Below is EXAMPLE #8*********************





************************Below is EXAMPLE #9************************





*********************************Below is EXAMPLE #10*********************

***************************Below is EXAMPLE #11*********************





***************************************************

***************************************************

Statistics INTRO

College Calculus Links

LINKS to College Calculus
They are listed in reverse order of presentation:

new material April 10th on...
http://mcauleycalculus.blogspot.com/2017/04/new-material-april-10th-on.html

Latest Days
http://mcauleycalculus.blogspot.com/2017/02/latest-days.html

Slope Fields and VOLUME
http://mcauleycalculus.blogspot.com/2017/02/march-7.html

What area tells us
http://mcauleycalculus.blogspot.com/2017/02/march-6.html

Differential Equations
http://mcauleycalculus.blogspot.com/2017/02/march-5.html

area between two curves
http://mcauleycalculus.blogspot.com/2017/02/march-4.html

Definite Integrals
http://mcauleycalculus.blogspot.com/2017/02/definite-integrals.html

Approximate Area under a curve
http://mcauleycalculus.blogspot.com/2017/02/march-2.html

Finding C
http://mcauleycalculus.blogspot.com/2017/02/march1.html

Review for AP
http://mcauleycalculus.blogspot.com/2017/01/feb4.html

RIGHT Triangles to solve integrals
http://mcauleycalculus.blogspot.com/2017/01/feb3.html

Inverse Trig Integrals
http://mcauleycalculus.blogspot.com/2017/01/feb2.html

Trig Integrals
http://mcauleycalculus.blogspot.com/2017/01/feb1.html

Latest Homework
http://mcauleycalculus.blogspot.com/2016/11/blog-post_25.html

Calculus Formulas
http://mcauleycalculus.blogspot.com/2016/11/december-topic-9.html

RELATED RATES
http://mcauleycalculus.blogspot.com/2016/11/december-topic-8.html

Integrals Part 1
http://mcauleycalculus.blogspot.com/2016/11/integrals-part-1.html

Integrals Part 2
http://mcauleycalculus.blogspot.com/2016/11/integrals-part-2.html

Inverse Trig (with Ellipse Application to Medicine)
http://mcauleycalculus.blogspot.com/2016/11/inverse-trig-with-ellipse-application.html

e to the x and Natural Log Derivatives
http://mcauleycalculus.blogspot.com/2016/11/blog-post_16.html

The Mean Value Theorem
http://mcauleycalculus.blogspot.com/2016/11/the-mean-value-theorem.html

Newton Method
http://mcauleycalculus.blogspot.com/2016/11/december-topic-5.html

AP expectations
http://mcauleycalculus.blogspot.com/2016/11/december-topic-4.html

Continuity
http://mcauleycalculus.blogspot.com/2016/11/continuity.html

implicit derivatives and limit problems
http://mcauleycalculus.blogspot.com/2016/11/december-topic-2.html

2nd derivative Implicitly
http://mcauleycalculus.blogspot.com/2016/11/december-topic-1.html

First Limit Test
http://mcauleycalculus.blogspot.com/2016/11/first-limit-test.html

Implicit Derivatives - Day 1
http://mcauleycalculus.blogspot.com/2016/11/implicit-derivatives-nov-14th.html

max-min test
http://mcauleycalculus.blogspot.com/2016/11/max-min-test.html

Limits, Continuity, Asymptotes
http://mcauleycalculus.blogspot.com/2016/11/limits-continuity-asymptotes.html

Max. and Min.
http://mcauleycalculus.blogspot.com/2016/11/max-min-test.html

graphing calculator
http://mcauleycalculus.blogspot.com/2016/10/graphing-calculator.html

more trig normal and tangent lines
http://mcauleycalculus.blogspot.com/2016/10/more-trig-normal-and-tangent-lines.html

Trig derivative problems Oct. 21
http://mcauleycalculus.blogspot.com/2016/10/trig-derivative-problems-oct-21.html

sin x derivative
http://mcauleycalculus.blogspot.com/2016/10/sin-x-derivative.html

Max - Min Part 1
http://mcauleycalculus.blogspot.com/2016/10/max-min-and-continued-limits.html

Limit Intro Oct. 10th
http://mcauleycalculus.blogspot.com/2016/10/limit-intro-oct-10th.html

Trig review Sept. 30
http://mcauleycalculus.blogspot.com/2016/09/trig-review-sept-30.html

more with logs
http://mcauleycalculus.blogspot.com/2016/09/sept-28-more-with-logs.html

Sept. 26 exponential and logs
http://mcauleycalculus.blogspot.com/2016/09/sept-26-exponential-and-logs.html

First Test Sept. 15
http://mcauleycalculus.blogspot.com/2016/09/first-test-sept-15.html

derivative formulas
http://mcauleycalculus.blogspot.com/2016/09/derivative-formulas.html

days 9, 10 11
http://mcauleycalculus.blogspot.com/2016/08/days-9-10-11.html

days 7 and 8
http://mcauleycalculus.blogspot.com/2016/08/days-7-and-8.html

homework day 6
http://mcauleycalculus.blogspot.com/2016/08/homework-day-6.html

days 5 and 6
http://mcauleycalculus.blogspot.com/2016/08/days-5-and-6.html

days 3 and 4
http://mcauleycalculus.blogspot.com/2016/08/days-3-and-4.html

day 1 and 2
http://mcauleycalculus.blogspot.com/2016/08/day-1-and-2.html

limits
http://mcauleycalculus.blogspot.com/2016/08/limits.html

Max Min problems
http://mcauleycalculus.blogspot.com/2016/08/max-min-problems.html

Review for Calculus
http://mcauleycalculus.blogspot.com/2016/08/review-for-calculus.html

Calculus topics from other blogs
http://mcauleycalculus.blogspot.com/2016/08/calculus-topics-from-other-blogs.html

A Function is...
http://mcauleycalculus.blogspot.com/2016/08/a-function-is.html


THESE LINKS ARE TOPICS FROM MR. K's other BLOGS:

Math Comics
http://knepfle.com/mathcomics/

Partners of 22 degrees in the other quadrants  (with short video)
http://cck-high-school-math.blogspot.com/2016/04/inverse-trig-angle-partners.html

Math Comics
http://knepfle.com/mathcomics/

Factorials and Combinations (with short video)
http://cck-high-school-math.blogspot.com/2015/04/factorials-and-combinations.html

Finding Square Roots 50 years ago
http://cck-high-school-math.blogspot.com/2015/02/finding-square-roots-50-years-ago.html

Factorials and Combinations
http://cck-high-school-math.blogspot.com/2015/04/factorials-and-combinations.html

Solving Algebraic Eq. Examples
http://cck-high-school-math.blogspot.com/2015/02/solving-equations.html

Humorous quotes about Mathematics
http://cck-high-school-math.blogspot.com/2013/11/humorous-quotes-about-mathematics.html

How to solve Systems of Linear Equations
http://cck-high-school-math.blogspot.com/2012/11/nathan.html

THREE EQUATIONS - THREE UNKOWNS
http://cck-high-school-math.blogspot.com/2012/12/three-equations-three-unkowns.html

matrices and determinants
http://cck-high-school-math.blogspot.com/2013/01/matrices-4-3.html

Graphing Systems of Inequalities
http://cck-high-school-math.blogspot.com/2012/12/graphing-systems-of-inequalities.html

How to Factor - and use for solving Equations
http://mathasiseeit.blogspot.com/2012/12/new-posts.html

Linear Programming
http://cck-high-school-math.blogspot.com/2012/12/linear-programming.html

10 commandments for Algebra One finals:
http://mathematicsmisc.blogspot.com/2015/04/algebra-one-final.html

Three Reasons to simplify a Radical
http://math.knepfle.com/video_3_rad_rules1.html

Review Simultaneous Equations
http://mathematicsmisc.blogspot.com/2014/08/review-simultaneous-equations-begin.html

Algebra 2 Preparation
http://mathematicsmisc.blogspot.com/2014/08/mercy-hs-algebra-2-preparation.html

Equation of a Line - Parallel and Perpendicular Lines
http://mathematicsmisc.blogspot.com/2014/08/finding-equation-of-line-parallel-and.html

Evaluate Expressions with Negative Numbers
http://mathematicsmisc.blogspot.com/2015/01/evaluate-expressions-with-negative.html

PEMDAS
http://mathematicsmisc.blogspot.com/2015/01/simplify-arithmetic-expressions.html

Videos for teachers to enjoy:

Algebraic Fractions +-*/

Click on Picture
to ENLARGE...

Equations with FRACTIONS

Here are examples with Fractions in the Equations.

Look at #4 for logical steps to follow.

Usually by clicking on an image
you can see a LARGER VIEW.

 

***********************

Below are more simple

type equations