Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 15, 2023

Solve for $w$ where $0=7|w|$ . Write the solution as an integer or simplified fraction.

STEP 1

Assumptions1. We are given the equation $0=7|w|$ . We need to solve for $w$
3. The absolute value of $w$ is represented by $|w|$

STEP 2

First, we can simplify the equation by dividing both sides by7.
$\frac{0}{7} = \frac{7|w|}{7}$

STEP 3

After dividing, we get $0 = |w|$

STEP 4

The absolute value of a number is always non-negative. It is0 only when the number itself is0. Therefore, we can conclude that $w=0$ .
So, the solution to the equation $0=7|w|$ is $w=0$ .

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