Solving one step inequalities (BELL RINGER)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality 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 general form of a one-step inequality?

Back

A one-step inequality typically involves a single operation (addition, subtraction, multiplication, or division) to isolate the variable.

Front

When multiplying or dividing both sides of an inequality by a negative number, what happens to the inequality sign?

Back

The inequality sign flips when multiplying or dividing both sides by a negative number.

Front

Solve the inequality: 3x < 12. What is x?

Back

x < 4.

Front

What is the solution to the inequality -5y > 25?

Back

y < -5.

Front

How do you isolate a variable in an inequality?

Back

You perform inverse operations to both sides of the inequality, similar to solving an equation.

Front

What is the solution to the inequality x + 4 > 10?

Back

x > 6.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values for the variable that can satisfy the inequality.

Front

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

Back

Strict inequalities use < or >, while non-strict inequalities use ≤ or ≥.