Solving Linear Inequalities -- Review

Front

Does the sign need to flip when solving an inequality?

Back

Yes, the inequality sign flips when you multiply or divide both sides by a negative number.

Front

What does the inequality symbol '<' represent in graphing?

Back

It represents a solution set that does not include the endpoint, shown with an open circle on the graph.

Front

Solve the inequality: 6x < 24

Back

x < 4

Front

What does 'no more than' mean in terms of inequalities?

Back

It translates to 'less than or equal to', represented as ≤.

Front

Which inequality symbol has a graph with a closed (filled) circle?

Back

The symbol '≤' or '≥' has a graph with a closed circle.

Front

What is the solution to the inequality -2x ≥ 22?

Back

x ≤ -11 (the sign flips when dividing by -2).

Front

How do you represent the inequality 'x is greater than 5' in symbols?

Back

x > 5

Front

What is the solution to the inequality 3x + 5 < 14?

Back

x < 3.

Front

What does the inequality symbol '>' indicate?

Back

It indicates that the left side is greater than the right side, not including the endpoint.

Front

How do you solve the inequality 4x - 1 ≤ 11?

Back

x ≤ 3.