Unit 2 Review - Equations & Inequalities

Front

What is an inequality?

Back

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

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 an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What does a closed circle on a number line represent?

Back

A closed circle represents that the number is included in the solution set (used for ≤ or ≥).

Front

What does an open circle on a number line represent?

Back

An open circle represents that the number is not included in the solution set (used for < or >).

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the inequality 3 < -5n + 2n?

Back

n < -1.

Front

What is the solution to the equation 4 + k/2 = -3?

Back

k = -14.

Front

What does it mean if an equation has infinite solutions?

Back

It means that there are countless values for the variable that satisfy the equation.

Front

What is the solution to the compound inequality 3x - 4 < -13 or 7x + 1 > 22?

Back

x < -3 or x > 3.