graphing inequalities

Front

What does the inequality x ≥ -5 represent on a number line?

Back

The graph includes all numbers greater than or equal to -5, with a closed dot at -5 and a line extending to the right.

Front

What does the inequality b ≤ -2 indicate?

Back

The graph includes all numbers less than or equal to -2, with a closed dot at -2 and a line extending to the left.

Front

If a student must be at least 15 years old to obtain a driver’s permit, what inequality represents this condition?

Back

x ≥ 15, meaning the student can be 15 or older.

Front

What does the inequality x < -4 represent on a number line?

Back

The graph includes all numbers less than -4, with an open dot at -4 and a line extending to the left.

Front

What does the inequality 11 ≤ a mean?

Back

The graph includes all numbers greater than or equal to 11, with a closed dot at 11 and a line extending to the right.

Front

Define an inequality.

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) means the value is strictly more, while 'greater than or equal to' (≥) includes the value itself.

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open dot at 3, and shade to the left to indicate all numbers less than 3.

Front

What does the inequality y > 2 represent?

Back

The graph includes all numbers greater than 2, with an open dot at 2 and a line extending upwards.

Front

Explain how to solve the inequality 2x + 3 < 7.

Back

Subtract 3 from both sides to get 2x < 4, then divide by 2 to find x < 2.