Flashcard 2: Solving One-Step Inequalities

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 for a value to be a solution to an inequality?

Back

A value is a solution to an inequality if, when substituted into the inequality, it makes the statement true.

Front

How do you solve a one-step inequality?

Back

To solve a one-step inequality, isolate the variable on one side of the inequality by performing the same operation on both sides.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality uses < or >, meaning the values cannot be equal, while a non-strict inequality uses ≤ or ≥, allowing for equality.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'.

Front

When graphing the inequality x > -8, what type of dot is used?

Back

An open dot is used when graphing x > -8, indicating that -8 is not included in the solution.

Front

When graphing the inequality y ≤ 14, what type of dot is used?

Back

A closed dot is used when graphing y ≤ 14, indicating that 14 is included in the solution.

Front

How do you represent the solution of the inequality x - 2 < 5 on a number line?

Back

The solution x < 7 is represented by shading to the left of 7 on the number line with an open dot at 7.

Front

What is the first step in solving the inequality 2 ≥ y - 12?

Back

The first step is to add 12 to both sides of the inequality to isolate y.