Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is not equal to the other.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

Translate: 5 times a number is at least 60.

Back

5x ≥ 60

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

Solve the inequality: -8x < 48. What is x?

Back

x > -6

Front

Translate: Twice a number is smaller than 42.

Back

2x < 42

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

What inequality does the number line graph represent if it includes -5 and extends to the right?

Back

x ≥ -5

Front

Translate: Four times a number, increased by 6 is greater than 22.

Back

4x + 6 > 22

Front

What is the solution to the inequality: 2x < 42?

Back

x < 21