Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality y + 5 ≥ 2?

Back

Subtract 5 from both sides: y ≥ 2 - 5, so y ≥ -3.

Front

What is the solution to the inequality y + 5 ≥ 2?

Back

The solution is y ≥ -3.

Front

When graphing the inequality y < 4, what type of dot is used?

Back

An open dot is used when graphing y < 4.

Front

When graphing the inequality y ≥ 4, what type of dot is used?

Back

A closed dot is used when graphing y ≥ 4.

Front

What does 'No More Than' mean in terms of inequalities?

Back

'No More Than' translates to ≤.

Front

What does 'At Least' mean in terms of inequalities?

Back

'At Least' translates to ≥.

Front

If you have the inequality x > 3, what is the graph representation?

Back

The graph will have an open dot at 3 and a line extending to the right.