One Step Inequalities

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'. It indicates that a value can be either greater than or equal to another value.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that a value can be either less than or equal to another value.

Front

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

Back

Subtract 5 from both sides: x ≤ 8.

Front

What is the solution to the inequality -3 ≥ x - 1?

Back

Add 1 to both sides: -2 ≥ x, or x ≤ -2.

Front

What does the number line graph represent for x ≥ -5?

Back

It represents all numbers greater than or equal to -5, including -5 itself.

Front

If a student must be at least 15 years old to obtain a driver’s permit, what inequality represents this?

Back

x ≥ 15, where x is the age of the student.

Front

What is the solution to the inequality 2x < 10?

Back

Divide both sides by 2: x < 5.

Front

How do you graph the inequality x > 3 on a number line?

Back

Draw an open circle at 3 and shade to the right, indicating all numbers greater than 3.

Front

What is the solution to the inequality 4 - x ≥ 1?

Back

Subtract 4 from both sides: -x ≥ -3, then multiply by -1 (reversing the inequality): x ≤ 3.