What is the negation of the following inequality?
–
b>
–
7

The negation of an inequality involves reversing the inequality sign. The original inequality is:

\[
b > 7
\]

To negate this inequality, you reverse the "greater than" (\(>\)) sign to "less than or equal to" (\(\leq\)). Therefore, the negation of the inequality is:

\[
b \leq 7
\]

Would you like further details or have any questions?

Here are five related questions for further exploration:

1. What is the negation of the inequality \( b \geq 5 \)?
2. How do you negate the inequality \( x < -3 \)?
3. What is the result when you negate the inequality \( a \leq 2 \)?
4. How would you express the negation of the inequality \( x \neq 4 \)?
5. Can you explain the difference between strict inequalities and non-strict inequalities?

**Tip:** When negating an inequality, always remember to reverse the inequality sign.

Explore how to negate mathematical inequalities with clear examples and explanations. Learn to reverse inequality signs correctly, like turning 'b > 7' into 'b ≤ 7'. Suitable for high school students and anyone studying algebraic inequalities.

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