Absolute value or modulus made simple for you at TutorEye Are you a university or school looking for an online tutoring partnership ? Talk to Us

# Here is all you need to know about absolute value or modulus

Absolute value is a unique concept in math and is an important topic to know in order to perform algebra, geometry, and higher mathematics. Let our tutors help you learn it clearly. ## Some of our best Absolute Value Tutors

6 Tutors available

## Absolute value:

The absolute value (or modulus),|x| of a real number x is its non-negative value regardless of its sign.The absolute value of a number may be conceived of as its position on the real number line in relation to zero.Furthermore, the distance between two real numbers is the absolute value of their difference.

## Here is all you need to know about absolute value or modulus

Absolute value is a unique concept in math and is an important topic to know in order to perform algebra, geometry, and higher mathematics. Let our tutors help you learn it clearly.

## Top things to learn about absolute value from the online tutor:

• Definition
• Properties of absolute value
• Sign of Absolute value
• Uses and applications of absolute value
• Absolute value and number lines
• Absolute value of integers
• Absolute value of equations
• When absolute value is not the same as modus
• Absolute value function

Question 1: What is absolute value?

Absolute value defines how far is the number from zero on the number line without taking direction into account. A number's absolute value is never negative.

Question 2: How to solve absolute value equations?

To solve the absolute value equations we follow following steps:

Step1: We remove the absolute value expression from the equation.

Step 2: Set the quantity on one side of the equation to + and the amount on the other side of the equation to -.

Step 3:Solve both equations and find the value of the unknown.

Step 4: We can check our result analytically or graphically.

Example: Solve x;

|5x+6| = 2

Step 1: We remove the absolute value expression from the equation.

5x + 6 = 2 or 5x + 6 = -2

Step 2: Set the quantity on one side of the equation to + and the amount on the other side of the equation to -.

5x + 6 = 2

5x + 6 = -2

Step 3: Solve both equations and find the value of the unknown.

5x + 6 = 2

5x = 2-6 = -4

x = -4/5

And,                5x + 6 = -2

5x = -2-6 = -8

x = -8/5

Step 4: Checking solution

Put x= -4/5 in |5x + 6|=|5*(-4/5) + 6| = |-4+6| = 2 = R.H.S

Put x= -8/5 in |5*(-8/5) + 6|=|5*(-8/5) + 6| = |-8+6| = |-2| = 2 = R.H.S

Question 3: How to solve absolute value inequalities?

To solve the absolute value inequalities we have to follow the following steps:

Step 1: On the left side of the inequality, we isolate the absolute value statement.

Step 2: If the integer on the opposite side of the inequality symbol is negative, our equation has either no solution or all real numbers as solutions.To determine which of these instances applies, we look at the sign of each side of our inequality.We proceed to Step 3 if the number on the other side of the inequality sign is positive.

Step 3: By using a compound inequality, we may remove the absolute value bars.The sort of inequality sign in the problem will instruct us on how to construct the compound inequality.

We set up a "or" compound inequality if our problem includes a greater than sign .

If the absolute value of your variable is less than a number, we create a three-part compound inequality.

Step 4: We solve the inequality.

Example:

|x + 3| - 5 < 8

Step 1: Isolate the absolute value

|x + 3| - 5 < 8

|x + 3|<8+5

|x + 3|< 13

Step 2: Is there a negative value on the other side?

No, 13 is a positive value. So, we continue with step 3.

Step 3: Setting up a compound inequality

We will create a three-part inequality since the inequality        sign in our problem is a less than sign

-13< x + 3<13

Step 4: Solving for inequality

-13< x + 3<13

-13-3< x + 3-3<13-3

-16< x <10 Get started with a demo session to resolve your queries! Live Absolute Value Tutoring At Lowest Fee - \$7.49 For 30 Mins/Month Chat With Absolute Value Tutors Anytime, Anywhere.` Only Pay For Time When You Spend In Absolute Value Classroom Refill Anytime With Multiple Of \$7.49 For Online Absolute Value Lessons

Find A Absolute Value Tutor Online To Scale Up Your Grades With The Help Of One To One Sessions Online at TutorEye.  ## Are you looking for fast homework help or regular online Absolute Value tutoring? Our service is fast, convenient and always offered at any given time!

## Don't Go Far, Look Here!  We have the most knowledgeable and experienced online Absolute Value tutors, who are always available to help you solve a tricky problem, complete a challenging Absolute Value homework assignment or provide useful test preparation tips. We are arguably the best online tutoring website that offers quality tutoring help at a very attractive cost Our service is designed to help both high school and college level students. ## Some of Our Key Features!

• ## Tutor Verification

TutorEye does a thorough back-check before we employ any Absolute Value tutor online.

• Out tutors holds teaching license, B.Sc, master's, or Ph.D.

• We offer advanced technological virtual classrooms with complete audio, video and even a whiteboard.

• ## No-Technical skill needed

You need no special technical skills to use it.

• ## Money back guarantee

Money back guarantee if you are not pleased with us.

• ## Works for every student

Our online Absolute Value tutoring is for everyone who wishes to learn Absolute Value they can be high school or college level students or anyone with interest in Absolute Value.

## What students say about us?

98% of our students love us… ## We Are Different from Others! 