Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

How do you write an inequality for: 'We need to make at least $10,000'?

Back

x ≥ 10000

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

When solving inequalities, do you need to flip the inequality sign when multiplying or dividing by a negative number?

Back

Yes, you need to flip the sign when multiplying or dividing both sides of an inequality by a negative number.

Front

If 3x ≥ 12, what is the value of x?

Back

x ≥ 4

Front

Solve the inequality: r - 14 ≥ 17. What is r?

Back

r ≥ 31

Front

What is the solution to the inequality: 7n - 1 > 76?

Back

n > 11.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means to represent the solutions of the inequality on a number line, using an open or closed dot to indicate whether the endpoint is 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).