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When dealing with inequalities, the first step is to simplify the expression presented. Let’s break it down using the exercise at hand: -6 ≤ -(-3). This inequality looks a bit complex at first glance. The important part here is to focus on simplifying the terms on both sides.

For the given exercise, we start by looking at the expression -(-3). The double negative can be tricky, but remember, a negative of a negative goes back to positive. So, -(-3) simply becomes 3.

Now, with this simplification, our inequality is much easier to handle: it is simply -6 ≤ 3. Whenever you simplify an expression like this, ensure you follow basic arithmetic rules to avoid mistakes. The goal is to transform a complex expression into a straightforward inequality.

Understanding negative numbers is crucial for algebra and inequalities. Negative numbers are less than zero, and they are represented with a minus sign. For instance, -3, -6, -10 are all negative numbers.

Let’s look at a common misunderstanding: when you see a double negative, like -(-3) in the exercise. Always recall that two negatives cancel each other out. Therefore, -(-3) becomes +3.

Working with negatives goes beyond just understanding double negatives. When comparing negative numbers with positive numbers, remember that any negative number is always less than any positive number. For example, -6 is always less than 3, as seen in our simplified inequality, -6 ≤ 3.

Evaluating inequalities involves determining if the simplified statement is true or false. It's an essential skill because it helps you understand relationships between numbers. In our exercise, we simplified our inequality to -6 ≤ 3.

To evaluate it, we ask: Is -6 less than or equal to 3? The answer is yes. Negative numbers are always less than positive numbers. There’s no scenario where a negative would be greater than a positive.

When you evaluate inequalities, you are essentially comparing the two sides. If the statement holds true, then the inequality is true. If it doesn't, the statement is false. Practice these steps, and soon you'll be evaluating inequalities with confidence.