Intro To Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

When do you use an open circle on a graph for an inequality?

Back

An open circle is used when the inequality is > or <.

Front

When do you use a closed circle on a graph for an inequality?

Back

A closed circle is used when the inequality is ≥ or ≤.

Front

How do you represent the inequality x > 3 on a number line?

Back

Draw a number line, place an open circle on 3, and shade to the right.

Front

How do you represent the inequality x ≤ -3 on a number line?

Back

Draw a number line, place a closed circle on -3, and shade to the left.

Front

What does the inequality a < 11 represent on a graph?

Back

It represents all values of 'a' that are less than 11, shown with an open circle at 11 and shading to the left.

Front

What does the inequality a ≥ 11 represent on a graph?

Back

It represents all values of 'a' that are greater than or equal to 11, shown with a closed circle at 11 and shading to the right.

Front

What is the solution set for the inequality x < 5?

Back

The solution set includes all numbers less than 5.