Determine whether the inequality $$ -20 \leq-(-5) $$ is true or false.

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UpStudy AI · Accepted Answer

To determine whether the inequality $$ -20 \leq -(-5) $$ is true or false, let's simplify and evaluate each side step by step.

**Step 1: Simplify the Right Side**

The expression on the right side of the inequality is $$ -(-5) $$.

$$
-(-5) = 5
$$

**Step 2: Rewrite the Inequality**

After simplifying, the inequality becomes:

$$
-20 \leq 5
$$

**Step 3: Evaluate the Inequality**

Now, we compare the two numbers:

$$
-20 \leq 5
$$

$$-20$$ is indeed less than $$5$$.

**Conclusion**

The inequality $$ -20 \leq -(-5) $$ simplifies to $$ -20 \leq 5 $$, which is **true**.

**Answer:**  
True. After simplifying, –20 is less than or equal to 5, so the inequality holds.
The inequality $$ -20 \leq -(-5) $$ is true because $$-20$$ is less than or equal to $$5$$.

Determine whether the inequality \( -20 \leq-(-5) \) is true or false.

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