What is a linear inequation in one variable?

A comparison of a linear expression involving a single variable to a constant using inequality signs.

Fill in the blank: The signs of inequality include 

>, <, ≥, and  _____

≤

True or False: The solution set for x < 3 with the replacement set of natural numbers is {-1, 2}

False. The solution set is {1, 2}.

Riddle: I can be used to balance your budget or determine your study hours, and I involve greater than or less than signs. What am I?

Linear inequation

What happens to the inequality sign when you multiply both sides of an inequation by a negative number?

The inequality sign reverses.

If the product of two numbers is negative, what can be said about the signs of these numbers?

One number is positive, and the other is negative.

Fill in the blank: The set from which values of the variable are chosen is called the _____ set.

Replacement

True or False: To represent x ≤ 2 on a number line, a hollow circle is used at point 2.

False. A filled circle is used at point 2.

If x + 5 > 10, what is the minimum value of x?

X > 5

Riddle: I am the result of combining two inequations, either by intersection or union. What am I?

Combined inequalities

True or False: The solution set for an inequation can be empty if no values satisfy it.

True.