Solving Inequalities Practice

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 solution to the inequality: 6 + 2h > 30?

Back

h > 12.

Front

What is the first step to solve the inequality: -5x - 7 < 28?

Back

Add 7 to both sides to isolate the term with x.

Front

What is the solution to the inequality: -5x - 7 < 28?

Back

x > -7.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality represents all the solutions to the inequality on a number line or coordinate plane.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of the inequality by a negative number.

Front

What is the solution to the inequality: 7k - 2 ≥ -9?

Back

k ≥ -1.

Front

How do you represent the solution of an inequality on a number line?

Back

You use an open circle for < or > and a closed circle for ≤ or ≥, shading the appropriate direction.

Front

What is the solution to the inequality: -3x ≥ 12?

Back

x ≤ -4.