https://r2.erweima.ai/mathbot/image/17264470358732ad1888c.jpg

The expression shown in the image is:

\[
-2 \leq 6 - 2 \times 5
\]

Let's break down and solve this step by step:

1. **First, follow the order of operations (PEMDAS)**:
   - Multiplication comes first, so calculate \( 2 \times 5 \):
     \[
     2 \times 5 = 10
     \]
   - Now the expression becomes:
     \[
     -2 \leq 6 - 10
     \]

2. **Next, perform the subtraction**:
   \[
   6 - 10 = -4
   \]
   So the inequality becomes:
   \[
   -2 \leq -4
   \]

3. **Interpret the inequality**:
   This inequality says that \( -2 \) should be less than or equal to \( -4 \). However, this is not true because \( -2 \) is greater than \( -4 \).

Thus, the inequality is **false**.

Would you like more details or have any questions on this? Here are some related questions to explore further:

1. What are the rules for solving inequalities?
2. Can an inequality be true if both sides are negative?
3. How does multiplying or dividing by a negative number affect inequalities?
4. Can inequalities change when applying different operations?
5. What happens when both sides of the inequality are equal?

**Tip:** Always remember to follow the order of operations (PEMDAS) when solving mathematical expressions!

This page provides a step-by-step solution to the inequality -2 ≤ 6 - 2 × 5. The problem involves using the order of operations and basic arithmetic to check if the inequality is true or false. Suitable for Grades 6-8.

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