Two Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to solve for the variable.

Front

How do you solve the inequality 2k - 9 ≤ -19?

Back

Add 9 to both sides: 2k ≤ -10, then divide by 2: k ≤ -5.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'.

Front

How do you graph the inequality x > 3?

Back

Draw a number line, place an open circle on 3, and shade to the right.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77, then divide by 7: n > 11.

Front

How do you solve the inequality 16 - 4a > 8?

Back

Subtract 16 from both sides: -4a > -8, then divide by -4 (flip the inequality): a < 2.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

What is the solution to the inequality 7k - 2 ≥ -9?

Back

Add 2 to both sides: 7k ≥ -7, then divide by 7: k ≥ -1.

Front

What is the difference between ≤ and < in inequalities?

Back

'≤' means 'less than or equal to', while '<' means 'less than' only.