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

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

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' 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 6x - 4 ≥ 26?

Back

Add 4 to both sides: 6x ≥ 30, then divide by 6: x ≥ 5.

Front

When graphing x > -2, what type of dot is used?

Back

An open dot is used because the inequality does not include -2.

Front

When graphing x ≤ 5, what type of dot is used?

Back

A closed dot is used because the inequality includes 5.

Front

What is the solution set for the inequality x < 3?

Back

The solution set includes all numbers less than 3.