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 '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 x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What type of dot is used when graphing inequalities with '≤' or '≥'?

Back

A closed dot is used when graphing inequalities with '≤' or '≥'.

Front

What does the inequality |p + 4| ≤ 8 represent?

Back

It represents the range of values for p that are within 8 units of -4, which is -12 ≤ p ≤ 4.

Front

If 7 is less than a number, how is this expressed in inequality form?

Back

This is expressed as x > 7.

Front

What is the solution to the inequality 2x - 3 > 5?

Back

Add 3 to both sides: 2x > 8; then divide by 2: x > 4.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means representing the set of solutions on a number line or coordinate plane, showing where the inequality holds true.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoints, while non-strict inequalities (≤, ≥) do include the endpoints.