# Algebra: Inequalities in Santa Ana

Remembering how to graph inequalities on a number line can be rather difficult. Algebra and Pre-Algebra students in Santa Ana are working with inequalities, yet with the help of a tutor, inequalities can be quite simple!  # Algebra: Inequalities in Santa Ana

Last Updated on September 30, 2020 by A Plus In-Home Tutors

Algebraic Inequalities in Santa Ana

Remembering how to graph inequalities on a number line can be rather difficult.

# Algebra and Pre-Algebra students in Santa Ana are working with inequalities, yet with the help of a tutor, inequalities can be quite simple!

In Algebra, an inequality states that two terms are not equal.  More specifically, it explains HOW two terms are not equal.

## For example, an Algebra tutor might state,

“I have more pencils that you.”  This is an inequality.  The two people do not have the same number of pencils.  However, it also states which side of the equation has more of the items than the other side of the equation.

In Algebra, there are four types of inequalities:

Less than, represented as <

Less than or equal to, represented as <

Greater than, represented as >

Greater than or equal to, represented as >

Once a Santa Ana Algebra student understands the four types of inequalities and what they mean, the next step a tutor has is to explain how to graph these values on a number line.  In every case, the first step is to look at the inequality itself.  Look at the picture at the start of this blog post.  In it are four inequalities.

### A Santa Ana Algebra tutor can explain how to tell these four lines apart.

First off, there are two types of “dots,” starting the inequality graph.  An “open dot,” or one that looks like a circle, stands for less than or greater than.  A “closed dot,” or one that looks like a period, stands for less than or equal to or greater than or equal to.  Equal – closed dot (the bottom two lines.)  Not equal – open dot (the top two lines.)

The next step is determining, using Algebra, the way that the line should go.  Should it become more negative (shaded to the left of the dot) or more positive (shaded to the right of the dot?)  A tutor can remind his or her Algebra student that negative is smaller, or lesser numbers, while positive is larger, or greater numbers.  Any algebraic inequality that states that the variable is less than or less than or equal to a number should be drawn to the left.  Any algebraic inequality that states that the variable is greater than or greater than or equal to a number should be drawn to the right.

In the picture above, the four lines are:

X < 2

X > 2

X < 2

X > 2

#### If you or your student is having a hard time understanding Algebra, A Plus In Home Tutors offers Algebra tutoring to increase your understanding and improve your grades.

##### We have Algebra tutors that will come to your home in Santa Ana, Anaheim, Tustin, and throughout Orange County.

We have tutors in every subject, both in Santa Ana and beyond.

Remembering how to graph inequalities on a number line can be rather difficult.  Algebra and Pre-Algebra students in Santa Ana are working with inequalities, yet with the help of a tutor, inequalities can be quite simple!

In Algebra, an inequality states that two terms are not equal.  More specifically, it explains HOW two terms are not equal.  For example, an Algebra tutor might state, “I have more pencils that you.”  This is an inequality.  The two people do not have the same number of pencils.  However, it also states which side of the equation has more of the items than the other side of the equation.

In Algebra, there are four types of inequalities:

Less than, represented as <

Less than or equal to, represented as <

Greater than, represented as >

Greater than or equal to, represented as >

Once a Santa Ana Algebra student understands the four types of inequalities and what they mean, the next step a tutor has is to explain how to graph these values on a number line.  In every case, the first step is to look at the inequality itself.  Look at the picture at the start of this blog post.  In it are four inequalities.  A Santa Ana Algebra tutor can explain how to tell these four lines apart.

First off, there are two types of “dots,” starting the inequality graph.  An “open dot,” or one that looks like a circle, stands for less than or greater than.  A “closed dot,” or one that looks like a period, stands for less than or equal to or greater than or equal to.  Equal – closed dot (the bottom two lines.)  Not equal – open dot (the top two lines.)

The next step is determining, using Algebra, the way that the line should go.  Should it become more negative (shaded to the left of the dot) or more positive (shaded to the right of the dot?)  A tutor can remind his or her Algebra student that negative is smaller, or lesser numbers, while positive is larger, or greater numbers.  Any algebraic inequality that states that the variable is less than or less than or equal to a number should be drawn to the left.  Any algebraic inequality that states that the variable is greater than or greater than or equal to a number should be drawn to the right.

In the picture above, the four lines are:

X < 2

X > 2

X < 2

X > 2

If you or your student is having a hard time understanding Algebra, A Plus In Home Tutors offers Algebra tutoring to increase your understanding and improve your grades.  We have Algebra tutors that will come to your home in Santa Ana, Anaheim, Tustin, and throughout Orange County.  We have tutors in every subject, both in Santa Ana and beyond. 