inequalities Algebra Review (lessons 3.1 - 3.4 ext)

Front

What is an inequality?

Back

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

Front

What happens to the inequality symbol when you multiply or divide both sides by a negative number?

Back

The inequality symbol is reversed.

Front

Solve the inequality: 6x - 4 < 14

Back

x < 3

Front

Solve the inequality: 2x - 6 > 16 OR 3x < -9

Back

x < -3 OR x > 11

Front

Solve the absolute value inequality: |x - 2| > 3

Back

x < -1 or x > 5

Front

What is the solution set for the inequality x + 5 > 10?

Back

x > 5

Front

How do you graph the inequality x ≤ 4?

Back

Draw a number line, place a closed dot on 4, and shade to the left.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true, while 'or' means at least one condition must be true.

Front

Solve the inequality: 3x + 2 < 11

Back

x < 3