Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, y < 5 means y is less than 5.

Front

How do you solve the inequality -4 - 6m > -9m + 8?

Back

First, combine like terms and isolate m. The solution is m > 4.

Front

What is the solution to the inequality -4 + y < -8?

Back

The solution is y < -4.

Front

How do you solve the inequality -4(5x + 3) > 11 - 3x?

Back

Distribute -4, combine like terms, and isolate x. The solution is x < -1.

Front

What is the solution to the inequality 4x - 3 < -1x + 12?

Back

The solution is x < 3.

Front

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

Back

Isolating a variable means to get the variable on one side of the inequality by itself.

Front

What is the first step in solving the inequality 4x - 3 < -1x + 12?

Back

The first step is to add 1x to both sides to combine like terms.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 12 means x is greater than or equal to 12.