Solving Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

How do you represent a situation where a number is less than another number?

Back

You use the less than symbol (<) to represent that one number is smaller than another.

Front

What does the symbol '≥' mean?

Back

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

Front

Write an inequality for the statement: 'A number x is at least 5.'

Back

x ≥ 5

Front

What is the solution to the inequality x + 4 < 10?

Back

x < 6

Front

How do you solve the inequality 2x - 3 > 7?

Back

Add 3 to both sides to get 2x > 10, then divide by 2 to find x > 5.

Front

Translate the statement: 'The sum of a number n and 8 is less than 12.'

Back

n + 8 < 12

Front

What is the solution to the inequality 3x + 5 ≤ 14?

Back

x ≤ 3.

Front

If x - 2 > 3, what is the value of x?

Back

x > 5.

Front

What does the inequality 10 < 3x + 19 imply about x?

Back

x > -3.