3-1 & 3-2 Solving inequalities Flashcard

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. Examples include: x > 5, y ≤ 10.

Front

Back

Front

What does the inequality x < 2 mean?

Back

The inequality x < 2 means that x can take any value less than 2.

Front

Back

Front

Is x = 12 a solution to the inequality x > 5?

Back

Yes, because 12 is greater than 5.

Front

What is the solution set for the inequality x ≤ 3?

Back

The solution set includes all numbers less than or equal to 3.

Front

What does the symbol '≥' represent in inequalities?

Back

'≥' means 'greater than or equal to', indicating that the value can be either greater than or exactly equal to the number.

Front

How do you graph the inequality x > 4 on a number line?

Back

Draw an open circle at 4 and shade to the right, indicating all numbers greater than 4.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary value, while non-strict inequalities (≤, ≥) do include the boundary value.

Front

How do you check if a number is a solution to an inequality?

Back

Substitute the number into the inequality and see if the statement is true.