One step Inequality Practice

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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≤' represent in an inequality?

Back

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

Front

How do you solve the inequality x + 5 ≤ 13?

Back

To solve the inequality, subtract 5 from both sides: x ≤ 8.

Front

What is the solution to the inequality b/2 < 13?

Back

To solve for b, multiply both sides by 2: b < 26.

Front

What does the number line graph representing x ≥ -5 indicate?

Back

It indicates that x can take any value greater than or equal to -5.

Front

How do you solve the inequality n + 21 < 0?

Back

Subtract 21 from both sides: n < -21.

Front

What is the meaning of the inequality p + 5 ≤ 18 in a real-world context?

Back

It means that after adding 5 books to a stack of p books, the total number of books does not exceed 18.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (>, <) do not include the boundary value, while non-strict inequalities (≥, ≤) do include the boundary value.

Front

How can you graph the solution to an inequality on a number line?

Back

Use an open circle for strict inequalities and a closed circle for non-strict inequalities, then shade the appropriate direction.

Front

What is the first step in solving a one-step inequality?

Back

Identify the operation being performed on the variable and perform the inverse operation to isolate the variable.