solving one step inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, or ≥) to show that one expression is larger or smaller than the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

Front

How do you solve the inequality 2a ≤ 10?

Back

To solve 2a ≤ 10, divide both sides by 2: a ≤ 5.

Front

What is the solution to the inequality x + 3 > 7?

Back

To solve x + 3 > 7, subtract 3 from both sides: x > 4.

Front

What does it mean to switch the inequality symbol?

Back

Switching the inequality symbol occurs when you multiply or divide both sides of an inequality by a negative number.

Front

Write an inequality for: 'A number x is at least 10.'

Back

x ≥ 10.

Front

Write an inequality for: 'A number y is less than 5.'

Back

y < 5.

Front

If a chef has 7 pounds of potatoes and needs more than 14 pounds, what inequality represents the situation?

Back

x + 7 > 14.

Front

What is the maximum number of people that can enter a room that already has 134 people if the room can hold 400 people?

Back

x + 134 ≤ 400.