Graph 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?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, z ≥ 10 means z is greater than or equal to 10.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, w ≤ 4 means w is less than or equal to 4.

Front

How do you graph the inequality b ≤ –2?

Back

To graph b ≤ –2, draw a solid line at -2 and shade to the left, indicating all values less than or equal to -2.

Front

How do you graph the inequality a ≥ 11?

Back

To graph a ≥ 11, draw a solid line at 11 and shade to the right, indicating all values greater than or equal to 11.

Front

What is the solution set for the inequality x > 7?

Back

The solution set for x > 7 includes all numbers greater than 7, represented as (7, ∞).

Front

How do you interpret the inequality –3/7 > j?

Back

The inequality –3/7 > j means that j is less than –3/7.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to. The latter includes the boundary value.