Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you solve the inequality 15 > x - 1?

Back

To solve 15 > x - 1, add 1 to both sides: 16 > x, or x < 16.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

Front

Write an inequality for the statement: 'Your family needs at least 2 gallons of water but no more than 8 gallons.'

Back

The inequality is 2 ≤ x ≤ 8.

Front

If x < 5, what are some possible values for x?

Back

Possible values for x include 4, 3, 2, 1, 0, -1, etc.

Front

What is the solution set for the inequality x + 3 > 7?

Back

To solve, subtract 3 from both sides: x > 4. The solution set is all numbers greater than 4.