Inequalitites

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, or not equal to the other.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality -19 - 7k ≤ 8 - 6k?

Back

Combine like terms to isolate k: -19 + 8 ≤ 7k - 6k, which simplifies to -11 ≤ k, or k ≥ -11.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

The solution is x ≤ 13.

Front

How do you solve the inequality 2(7-f) + 3f > 10(2f - 9)?

Back

Distribute and combine like terms to find f < 5.5.

Front

What does the inequality -3 ≥ x - 1 represent?

Back

It represents that x must be less than or equal to -2.

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8 (remember to flip the inequality sign), resulting in x > -6.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, often using 'and' or 'or'.