AA-Solving Inequalities Flashcard

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

How do you solve the inequality 4x + 1 > 13?

Back

Subtract 1 from both sides to get 4x > 12, then divide by 4 to find x > 3.

Front

What is the first step in solving the inequality 4(y + 4) ≤ 16?

Back

Distribute the 4 to get 4y + 16 ≤ 16.

Front

What does the solution y ≤ 0 represent in the context of the inequality 4(y + 4) ≤ 16?

Back

It means that y can take any value less than or equal to 0.

Front

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

Back

The inequality symbol flips direction.

Front

How can you represent Mario's spending situation with an inequality?

Back

The inequality is represented as 220 + 75g ≤ 800, where g is the number of games.

Front

What is the solution to the inequality 220 + 75g ≤ 800?

Back

Subtract 220 from both sides to get 75g ≤ 580, then divide by 75 to find g ≤ 7.73.

Front

What does the inequality b ≤ -2 indicate on a number line?

Back

It indicates that b can take any value less than or equal to -2, including -2 itself.

Front

What is the graphical representation of the inequality x > 3?

Back

A number line with an open circle at 3 and a line extending to the right.

Front

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

Back

Strict inequalities (>, <) do not include the boundary point, while non-strict inequalities (≥, ≤) do include the boundary point.