Chapter 3: Q66. (page 115)

Solve each equation. Check your solution.
$66 . |6 a - 4| = - 2$

Short Answer

Expert verified

There are no solutions to the equation $|6 a - 4| = - 2$ . The solution set is $\emptyset$ .

Step by step solution

Step-1 – Apply the concept of Absolute value

On real number line, the distance of a number from 0 is the absolute value. It is always nonnegative.

The absolute value of a function is expressed as, if x is a real number then absolute value of xis defined as.

$|x| = x$ when x is greater than or equal to 0 . In other words, the absolute value of x is x when x is either positive or zero.

$|x| = - x$ when x is less than 0 . In other words, the absolute value of x is opposite of x when x is negative.

Step-2 –Example of Absolute value

The absolute value of 5 is expressed as $|5| = 5$ and of $- 5$ is expressed as $|- 5| = 5$

Step-3 – Simplify the equation

Consider the provided equation.

$|6 a - 4| = - 2$

Recall that absolute value always produces a positive number. So, the equation is false.

No value exists for asuch that equation is true.

Hence, the solution set is $\emptyset$ .

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Solve each equation. Check your solution.
$66 . |6 a - 4| = - 2$

Short Answer

Step by step solution

Step-1 – Apply the concept of Absolute value

Step-2 –Example of Absolute value

Step-3 – Simplify the equation

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Solve each equation. Check your solution.66.6a-4=-2

Short Answer

Step by step solution

Step-1 – Apply the concept of Absolute value

Step-2 –Example of Absolute value

Step-3 – Simplify the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Logic and Functions

Probability and Statistics

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.
$66 . |6 a - 4| = - 2$