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Solve the inequality.

​|99yminus−44​|greater than or equals≥minus−32

It seems you intended to provide a video link, but I cannot access or watch videos. However, I can still help you solve the inequality you mentioned.

The inequality you provided is:

\[
|99y - 44| \geq -32
\]

### Step 1: Understand the Absolute Value
For any real number, the absolute value is always non-negative, i.e., \( |x| \geq 0 \). This means that \( |99y - 44| \) is always greater than or equal to zero.

### Step 2: Examine the inequality
We have the inequality:

\[
|99y - 44| \geq -32
\]

Since the absolute value is always non-negative and -32 is negative, this inequality is always **true** for any real value of \( y \). In other words, **any value of \( y \) will satisfy this inequality**, because the absolute value expression will always be greater than or equal to a negative number.

### Conclusion
The solution to this inequality is:

\[
y \in \mathbb{R}
\]

This means that any real number \( y \) is a solution to the inequality.

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Would you like more details or have any other questions?

Here are some related questions to expand your understanding:

1. How would you solve an inequality like \( |x + 2| \geq 5 \)?
2. Can an absolute value inequality have no solutions? Why or why not?
3. How would you solve \( |99y - 44| \leq 32 \)?
4. What is the difference between \( |x| \geq c \) and \( |x| \leq c \) when solving inequalities?
5. How do you interpret absolute value inequalities in terms of distance?

**Tip:** When solving absolute value inequalities, consider both the positive and negative scenarios for the expression inside the absolute value.

Watch the video and then solve the problem given below. Solve the inequality. |99y - 44| ≥ -32

Learn how to solve the absolute value inequality |99y - 44| ≥ -32 in a step-by-step solution. This problem explains key algebraic concepts and highlights the property that absolute values are always non-negative, making this inequality true for all real values of y. Ideal for students in Grades 8-10.

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