Multi-Step Inequalities w/ Combining Like Terms

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

You flip the inequality symbol.

Front

Solve the inequality: -3 - 6(4x + 6) > -111

Back

x < 3

Front

Solve the inequality: 6(n + 2) < -72

Back

n < -14

Front

Solve the inequality: 5z - 2 - 2z < 13

Back

z < 5

Front

Solve the inequality: 6x + 2 + 6x < 14

Back

x < 1

Front

What is a multi-step inequality?

Back

An inequality that requires more than one step to solve, often involving combining like terms and applying inverse operations.

Front

What are like terms?

Back

Terms in an expression that have the same variable raised to the same power.

Front

How do you combine like terms in an inequality?

Back

You add or subtract the coefficients of the like terms.

Front

What is the first step in solving the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

What does it mean to isolate the variable in an inequality?

Back

To get the variable on one side of the inequality sign by performing inverse operations.