Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

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

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side using inverse operations, similar to solving an equation. Remember to flip the inequality sign when multiplying or dividing by a negative number.

Front

What is the solution to the inequality x + 5 < 12?

Back

x < 7

Front

If 3x - 4 > 5, what is the value of x?

Back

x > 3

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. It indicates that one value is larger than another.

Front

What is the solution to the inequality 2x + 3 ≤ 11?

Back

x ≤ 4

Front

If a person must be no more than 12 years old to order from the kids menu, what inequality represents this situation?

Back

x ≤ 12

Front

What is the expression for Mike's age if he is 6 years younger than twice Iris's age (a)?

Back

2a - 6

Front

If you bike for 2 hours at a speed no faster than 17.6 miles per hour, what inequality represents the distance (d) you can bike?

Back

d ≤ 2 * 17.6 = 35.2 miles