Solving Inequalities

Front

What is an inequality?

Back

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

Front

How do you represent a situation where a total cost must not exceed a certain amount?

Back

You can represent it using an inequality, for example, if the total cost is represented by an expression, it should be less than or equal to the maximum amount.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

How do you solve the inequality 30 + n ≥ 50?

Back

Subtract 30 from both sides to get n ≥ 20.

Front

What is the first step to solve the inequality 10 - 3x < 16?

Back

Subtract 10 from both sides to get -3x < 6.

Front

If you have the inequality 6(n + 2) < -72, what is the first step to solve it?

Back

Distribute 6 to get 6n + 12 < -72.

Front

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

Back

Isolating the variable means to manipulate the inequality so that the variable is on one side and all other terms are on the other side.

Front

What is the solution to the inequality 10 - 3x < 16?

Back

The solution is x > -2.

Front

How do you express that you need to practice at least 50 minutes of football?

Back

You can express it as an inequality: x ≥ 50, where x is the time practiced.