One-Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality 12 ≥ 6w?

Back

Divide both sides by 6: w ≤ 2.

Front

What is the solution to the inequality -48 < 12c?

Back

Divide both sides by 12: c > -4.

Front

How do you isolate the variable in the inequality y - 13 ≤ -15?

Back

Add 13 to both sides: y ≤ -2.

Front

What is the solution to the inequality -9h > -63?

Back

Divide both sides by -9 (remember to flip the inequality): h < 7.

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 a one-step inequality?

Back

A one-step inequality is an inequality that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

What is the solution set of an inequality?

Back

The solution set is the set of all values that satisfy the inequality.