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'. For example, a > 5 means 'a is greater than 5'.

Front

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

Back

The symbol '<' means 'less than'. For example, b < 3 means 'b is less than 3'.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, c ≥ 4 means 'c is greater than or equal to 4'.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, d ≤ 2 means 'd is less than or equal to 2'.

Front

How do you represent the inequality x < 5 on a number line?

Back

You draw an open dot at 5 and shade to the left, indicating all numbers less than 5.

Front

How do you represent the inequality y ≥ -1 on a number line?

Back

You draw a closed dot at -1 and shade to the right, indicating all numbers greater than or equal to -1.

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

How do you graph the inequality a > 11?

Back

You draw an open dot at 11 and shade to the right, indicating all numbers greater than 11.

Front

What does the inequality b ≤ -2 represent on a number line?

Back

It represents all numbers less than or equal to -2, with a closed dot at -2 and shading to the left.