Writing and Graphing Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

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

Back

You place an open dot at 3 and shade to the left.

Front

How do you represent the inequality 'x ≥ 2' on a number line?

Back

You place a closed dot at 2 and shade to the right.

Front

What is the difference between a closed dot and an open dot on a graph?

Back

A closed dot indicates that the number is included (≥ or ≤), while an open dot indicates that the number is not included (> or <).

Front

If -17 > -18, what does this tell us about the numbers?

Back

It tells us that -17 is greater than -18 on the number line.

Front

What is the solution set for the inequality 'x > 4'?

Back

The solution set includes all numbers greater than 4.