Solving Inequalities in One Variable

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality 3(x – 1) ≥ –9?

Back

x ≥ –2.

Front

What is the first step in solving the inequality 2n + 4 < 16?

Back

Subtract 4 from both sides to get 2n < 12.

Front

What is the solution to the inequality –4a ≤ –28?

Back

a ≥ 7.

Front

What does it mean if an inequality has infinite solutions?

Back

It means that any value of the variable satisfies the inequality.

Front

How do you solve the inequality 3(n + 1) ≤ 3n + 4?

Back

This inequality has infinite solutions.

Front

What is the solution to the inequality 4n – 5 < 4(n – 2) + 9?

Back

This inequality has infinite solutions.

Front

What is the graphical representation of an inequality?

Back

It shows the range of values that satisfy the inequality on a number line.