Solving 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

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality m - 5 > 10?

Back

Add 5 to both sides to get m > 15.

Front

What is the solution to the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides to get x ≤ 8.

Front

What does the inequality x ≥ 10000 represent?

Back

It represents that x can be any number that is 10,000 or greater.

Front

How do you graph the inequality 7n - 1 > 76?

Back

First, solve for n to get n > 11. Then, graph a number line with an open circle at 11 and shade to the right.

Front

What is the first step in solving the inequality 77 ≤ 5 + 8n?

Back

Subtract 5 from both sides to isolate the term with n.

Front

What does the solution m > 15 indicate about the value of m?

Back

It indicates that m can be any number greater than 15.

Front

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

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

How do you interpret the inequality x ≤ 8?

Back

It means that x can be any number that is 8 or less.