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 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

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

Front

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

Back

Draw an open dot at 2 and shade to the right to indicate all numbers greater than 2.

Front

What is the solution to the inequality 6x - 4 ≥ 26?

Back

x ≥ 5.

Front

When graphing the inequality x < 3, what type of dot is used?

Back

An open dot is used to represent x < 3.

Front

What is the first step in solving the inequality 77 ≤ 5 + 8n?

Back

Subtract 5 from both sides to isolate the term with n.

Front

What does the solution x ≤ 4 represent on a number line?

Back

It represents all numbers less than or equal to 4, including 4 itself.

Front

How do you solve the inequality 3n + 2 < 11?

Back

Subtract 2 from both sides, then divide by 3 to find n < 3.

Front

What is the difference between 'open' and 'closed' dots on a graph?

Back

An open dot indicates that the number is not included (e.g., < or >), while a closed dot indicates that the number is included (e.g., ≤ or ≥).