Q 4.2 (P2)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. Examples include: x > 5, y ≤ 3.

Front

What does the symbol '>' represent in inequalities?

Back

'>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

What does the symbol '<' represent in inequalities?

Back

'<'' means 'less than'. For example, x < 5 means x is any number less than 5.

Front

What does the symbol '≥' represent in inequalities?

Back

'≥' means 'greater than or equal to'. For example, x ≥ 2 means x is any number greater than or equal to 2.

Front

What does the symbol '≤' represent in inequalities?

Back

'≤' means 'less than or equal to'. For example, x ≤ 4 means x is any number less than or equal to 4.

Front

How do you graph the inequality x > 3?

Back

You draw a number line, place an open circle at 3, and shade to the right to indicate all numbers greater than 3.

Front

How do you graph the inequality x ≤ -2?

Back

You draw a number line, place a closed circle at -2, and shade to the left to indicate all numbers less than or equal to -2.

Front

What is the solution to the inequality -4 + y < -8?

Back

The solution is y < -4.

Front

How do you solve the inequality 77 ≤ 5 + 8n?

Back

First, subtract 5 from both sides: 72 ≤ 8n. Then, divide by 8: 9 ≤ n or n ≥ 9.

Front

What does an open circle mean on a number line?

Back

An open circle indicates that the number is not included in the solution set. For example, x > 3 is represented with an open circle at 3.