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Inequality symbols are crucial for understanding how to compare different values. There are several common symbols you should familiarize yourself with:

• \[ > \] means 'greater than'.
• \[ < \] means 'less than'.
• \[ \geq \] means 'greater than or equal to'.
• \[ \leq \] means 'less than or equal to'.
• \[ e \] means 'not equal to'.

These symbols help us determine the relationship between two numbers:

• When you see \[ > \], the number on the left must be larger.
• When you see \[ < \], the number on the left must be smaller.
• When using \[ \geq \], the left number can be either larger or exactly equal to the right number.
• Similarly, \[ \leq \] allows the left number to be smaller or exactly the same as the number on the right.

Remembering what these symbols stand for will help you solve inequalities effectively.

Comparing values is a foundational skill in solving inequalities. You have to look at the numbers and understand their relationship:
When comparing values in inequalities, always keep the inequality symbol in mind.
For example, in the original exercise, we had:\( -3 \geq -3 \)
This tells us to compare \( -3 \) on the left with \( -3 \) on the right.
Because the two values are the same, \( -3 \geq -3 \) is indeed correct.
Let's see another example with different values:
If you had \[ 5 < 8 \], since 5 is smaller than 8, the inequality is true.
If you had \[ 9 > 4 \], since 9 is greater than 4, the inequality is also true.
Practice by comparing more values with different inequality symbols until you feel confident.

Determining whether a statement is true or false comes down to correctly interpreting the inequality symbol and comparing the values. Let’s review the steps to make sure you're on the right track:

1. Identify the Inequality Symbol: First, check which symbol is used. Is it \( > \), \( < \), \( \geq \), or \( \leq \)?
2. Compare the Values: Next, compare the numbers on both sides of the symbol.
3. Determine the Truth: Finally, decide if the comparison is accurate based on the symbol used. For instance, in our original problem, \(-3 \geq -3\), we interpreted the \( \geq \) symbol and saw that the inequality is true because \(-3\) equals \(-3\). When practicing with other statements, always follow these three steps to verify if they are true or false.