Unit 5 Inequalities Review

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, or not equal to the other. Examples include <, >, ≤, and ≥.

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 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, use an open circle for < or > and a closed circle for ≤ or ≥. Shade the region that represents the solution set.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoints, while non-strict inequalities (≤, ≥) do include the endpoints.

Front

What is the significance of flipping the inequality sign?

Back

The inequality sign must be flipped when multiplying or dividing both sides of the inequality by a negative number.

Front

How do you solve the inequality -2x + 7 < 19?

Back

Subtract 7 from both sides: -2x < 12. Then divide by -2 and flip the sign: x > -6.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, often using 'and' or 'or'. For example, x > 2 and x < 5.

Front

Back

Divide both sides by -3 and flip the sign: x ≤ -4.

Front

What is the purpose of using inequalities in real-life situations?

Back

Inequalities are used to represent constraints and conditions in real-life scenarios, such as budgeting, resource allocation, and comparisons.