Solving One-Step Inequalities

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

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

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality uses < or >, meaning the values cannot be equal, while a non-strict inequality uses ≤ or ≥, allowing for equality.

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.

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 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 the solution of an inequality on a number line?

Back

To graph the solution of an inequality on a number line, use an open circle for strict inequalities (< or >) and a closed circle for non-strict inequalities (≤ or ≥).

Front

What does the inequality z ≤ 9 represent?

Back

The inequality z ≤ 9 represents all values of z that are less than or equal to 9.

Front

How do you solve the inequality -4 + y < -8?

Back

To solve -4 + y < -8, add 4 to both sides to get y < -4.

Front

What is the solution to the inequality m ≥ -25/16?

Back

The solution to the inequality m ≥ -25/16 includes all values of m that are greater than or equal to -25/16.