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

How do you solve the inequality X/5 ≥ 7?

Back

Multiply both sides by 5 to get X ≥ 35.

Front

What is the solution set for the inequality x ≥ -5?

Back

The solution set includes all numbers greater than or equal to -5.

Front

What does the inequality x ≥ 15 represent in a real-world context?

Back

It represents that a person must be at least 15 years old to obtain a driver's permit.

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open circle at 3, and shade to the left to indicate all numbers less than 3.

Front

What is the solution to the inequality -8x < 48?

Back

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

Front

What does the inequality x > 5 mean?

Back

It means that x can be any number greater than 5.

Front

How do you interpret the graph of an inequality?

Back

The graph shows the range of values that satisfy the inequality, with open or closed circles indicating whether endpoints are included.

Front

What is the difference between '>' and '≥'?

Back

'>' means 'greater than' (not including the endpoint), while '≥' means 'greater than or equal to' (including the endpoint).