One and Two Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is not equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the difference between a one-step and a two-step inequality?

Back

A one-step inequality requires one operation to isolate the variable, while a two-step inequality requires two operations.

Front

How do you solve the inequality 2x + 3 > 7?

Back

Subtract 3 from both sides: 2x > 4. Then divide by 2: x > 2.

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

The inequality symbol flips (changes direction) when you multiply or divide both sides by a negative number.

Front

Solve the inequality: 3x - 5 ≤ 4.

Back

Add 5 to both sides: 3x ≤ 9. Then divide by 3: x ≤ 3.

Front

What is the solution set for the inequality x + 4 < 10?

Back

x < 6.

Front

How do you graph the inequality x > 2 on a number line?

Back

Draw an open circle at 2 and shade to the right to indicate all numbers greater than 2.

Front

What does the solution z ≤ 9 represent?

Back

It represents all values of z that are less than or equal to 9.

Front

How do you check if a number is a solution to an inequality?

Back

Substitute the number into the inequality and see if the statement is true.