One Step Inequalties

Front

What is an inequality?

Back

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

Front

What does it mean to solve an inequality?

Back

Solving an inequality involves finding all values of the variable that make the inequality true.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is not equal to the other and can be greater or less.

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable in an inequality, you perform the same operations on both sides of the inequality, similar to solving an equation, while maintaining the direction of the inequality.

Front

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

Back

When you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality sign.

Front

What is the solution set of an inequality?

Back

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

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the region that represents the solution set.

Front

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

Back

The inequality y < -4 represents all values of y that are less than -4, which is shown by shading to the left of -4 on the number line.

Front

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

Back

To check if a value is a solution to an inequality, substitute the value into the inequality and see if the statement is true.

Front

What is the significance of the inequality 8x < 48?

Back

The inequality 8x < 48 indicates that the value of x must be less than 6 after dividing both sides by 8.