Inequalities

The video introduces the concept of inequalities, explaining that they are used when two expressions are not equal. It covers the basic symbols for inequalities, such as less than, greater than, and their variations with 'or equal to'. The video also demonstrates how inequalities are represented on a number line, using full and hollow circles to indicate inclusive and exclusive values, respectively. Viewers are encouraged to practice identifying inequalities and are introduced to double inequalities. The video concludes with a brief mention of future topics, including solving inequalities and graphing them.

What is the primary difference between an equality and an inequality?

• Equalities are only used in mathematics, while inequalities are not.

• Equalities are used for profits and losses, while inequalities are not.

• Equalities show two expressions are not equal, while inequalities show they are equal.

• Equalities show two expressions are equal, while inequalities show they are not equal.

Which symbol represents 'less than or equal to'?

• >=

• <

• >

• <=

On a number line, how is 'a is greater than or equal to 4' represented?

• With a full circle at 5

• With a hollow circle at 4

• With a hollow circle at 5

• With a full circle at 4

What does a hollow circle on a number line indicate?

• The value is included in the inequality

• The inequality is a double inequality

• The inequality is an equality

• The value is not included in the inequality

How would you write the double inequality for 'x is greater than or equal to -2 and less than 4'?

• -2 < x <= 4

• -2 <= x <= 4

• -2 <= x < 4

• -2 < x < 4