Two-Step Inequalities REVIEW

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable, often involving addition or subtraction followed by multiplication or division.

Front

What does it mean to 'flip the sign' in an inequality?

Back

Flipping the sign means changing the direction of the inequality symbol (e.g., from < to >) when multiplying or dividing both sides of the inequality by a negative number.

Front

When do you use an open dot on a number line?

Back

An open dot is used when graphing inequalities with < or >, indicating that the endpoint is not included in the solution.

Front

When do you use a closed dot on a number line?

Back

A closed dot is used when graphing inequalities with ≤ or ≥, indicating that the endpoint is included in the solution.

Front

How do you represent 'at least' in an inequality?

Back

'At least' is represented by the symbol ≥ (greater than or equal to).

Front

How do you represent 'no more than' in an inequality?

Back

'No more than' is represented by the symbol ≤ (less than or equal to).

Front

What is the solution to the inequality 3x ≥ 12?

Back

x ≥ 4.

Front

What is the solution to the inequality -3x ≥ 12?

Back

x ≤ -4.

Front

How would you write an inequality for a maximum speed limit of 55 mph?

Back

s ≤ 55.

Front

How would you write an inequality for a minimum age of 12 years to order from the kids menu?

Back

x ≤ 12.