Keystone Inequalities

Front

What is a keystone inequality?

Back

A keystone inequality is a mathematical expression that shows the relationship between two values, indicating that one value is less than, greater than, or equal to another.

Front

Define the term 'inequality'.

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, or not equal to the other.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' represent?

Back

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

Front

How do you solve the inequality: 2x - 3 < 5?

Back

Add 3 to both sides: 2x < 8; then divide by 2: x < 4.

Front

What is the solution set for the inequality: x + 4 > 10?

Back

x > 6.

Front

What does the solution 'x < -2 or x > 5' represent on a number line?

Back

It represents two separate regions: all numbers less than -2 and all numbers greater than 5.

Front

How do you graph the inequality: -2 ≤ x ≤ 5?

Back

Draw a number line, shade between -2 and 5, and use closed circles at -2 and 5.

Front

What is the solution to the compound inequality: -3 ≤ 2x - 1 ≤ 5?

Back

-1 ≤ x ≤ 3.

Front

What does 'or' mean in the context of inequalities?

Back

'Or' indicates that at least one of the conditions must be true.