# How to Get Rid of Absolute Value Bars in Nigeria

To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.

## When can you drop absolute value bars?

Once we do know a value for “x”, if the expression within the bars is not negative, we can drop the bars; if it is negative, we must change its sign (negating it, making it positive) before dropping the absolute value signs. This same process can be also be used to solve absolute value equations.

### How do you get rid of absolute value bars in inequalities?

**inequality**sign is positive, proceed to step 3.

**Remove**the

**absolute value bars**by setting up a compound

**inequality**.

Step 1: Isolate the absolute value |
|x + 4| – 6 < 9 |x + 4| < 15 |
---|---|

Step 4: Solve the compound inequality |
-19 < x < 11 |

### How do you manipulate absolute value?

**SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)**

- Step 1: Isolate the
**absolute value**expression. - Step2: Set the quantity inside the
**absolute value**notation equal to + and – the quantity on the other side of the equation. - Step 3: Solve for the unknown in both equations.
- Step 4: Check your answer analytically or graphically.

### When can you drop absolute value?

**we can**see that

**if**b is zero then

**we can**just

**drop**the

**absolute value**bars and solve the equation. Likewise,

**if**b is negative then there

**will**be no solution to the equation.

### How do you get rid of absolute value on both sides?

**Explanation:**

- This is a continuation of my solution given earlier.
- Solve for x :
- 5|x+3|−4=8|x+3|−4.
- Subtract 8|x+3| and add 4 on
**both sides**: - Divide
**both sides**by (−3) - Subtract 3 from
**both sides**. - x=−3 is the ONLY Solution for this example.

### What are the rules of absolute value?

**absolute value**or modulus of a real number x, denoted |x|, is the non-negative

**value**of x without regard to its sign. Namely, |x| = x if x is positive, and |x| = −x if x is negative (in which case −x is positive), and |0| = 0.

### Do all absolute value equations have two solutions?

**Has two solutions**x = a and x = -a because both

**numbers**are at the distance a from 0. An

**absolute value equation has**no

**solution**if the

**absolute value**expression equals a negative number since an

**absolute value**can never be negative.

### Why are there two solutions for absolute value?

**two numbers**have the same

**absolute value**(except 0 ). (The

**solutions**are 73 and −1 .)

### Can there ever be one solution to an absolute value equation?

**Absolute value equations**are always solved with the same steps: isolate the

**absolute value**term and then write

**equations**based on the definition of the

**absolute value**.

**There**may end up being two

**solutions**,

**one solution**, or no

**solutions**.

### Which equation has no solution 4x 2 =- 6?

**4x**–

**2**| = –

**6 has no solution**. Since left hand side of function is in modulus, so it will always gives positive values but right hand side is –

**6**, So, there are

**no**values of x that make the

**equation**true.

### What is an example of no solution?

**no solution**, a unique

**solution**or infinitely many

**solutions**. A system has

**no solution**if the equations are inconsistent, they are contradictory. for

**example**2x+3y=10, 2x+3y=12 has

**no solution**. is the rref form of the matrix for this system.

### How do you tell if an equation has no solution?

**no**variables.

**If**the coefficients are the same on both sides then the sides will not equal, therefore

**no solutions**will occur.

### How do you know if a system has no solution?

**system has no solutions if**the lines are parallel.

**When**solving the

**system**,

**if**you get a false statement (a number equal to a different number) this means there are

**no solutions**.

### Is 0 0 infinite or no solution?

**0 = 0**for any value of x, the system of equations has

**infinite solutions**.

### How do you tell if an equation has one solution no solution or infinite solutions?

### How do you know if an equation has infinitely many solutions?

**If**we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have

**infinite solutions**.

**If**we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no

**solutions**.

### How do you make a system have infinitely many solutions?

**have infinitely many solutions**when it should satisfy some conditions. The

**system**of an equation

**has infinitely many solutions**when the lines are coincident, and they

**have**the same y-intercept. If the two lines

**have**the same y-intercept and the slope, they are actually in the same exact line.

### How do you solve infinitely many solutions?

### What is an example of infinitely many solutions?

**infinite solutions**, you’ll end up with a statement that’s true no matter what. For

**example**: 3=3 This is true because we know 3 equals 3, and there’s no variable in sight. Therefore we can conclude that the problem has

**infinite solutions**. You can solve this as you would any other equation.

### What is symbol for no solution?

**symbol**Ø to represent

**no solutions**. That

**symbol**means “empty set” which means that the set of all answers is empty. In other words, there is

**no**answer.

### What does infinite solution look like?

**infinite solution**has both sides equal. For example, 6x + 2y – 8 = 12x +4y – 16. If you simplify the equation using an

**infinite solutions**formula or method, you’ll get both sides equal, hence, it is an

**infinite solution**.

## How do you deal with absolute value?

To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations. Solve | x | + 2 = 5. Isolate the absolute value.