Inequalities Review

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 larger or smaller than the other.

Front

What does the symbol '≤' mean?

Back

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

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

How do you solve a simple inequality like 2x + 3 < 11?

Back

Subtract 3 from both sides to get 2x < 8, then divide by 2 to find x < 4.

Front

What is a compound inequality?

Back

A compound inequality combines two or more inequalities using 'and' or 'or' to express a range of values.

Front

Solve the compound inequality: -4x + 1 ≤ 21 and 5x + 2 < 22.

Back

x ≥ -5 and x < 4.

Front

What does 'at least' mean in an inequality?

Back

'At least' indicates a minimum value, represented by '≥' in an inequality.

Front

Write an inequality for: There must be at least 20 club members present to hold a meeting.

Back

m ≥ 20.

Front

How do you graph an inequality like x < 3?

Back

Draw a number line, place an open circle at 3, and shade to the left to indicate all numbers less than 3.

Front

What is the solution to the inequality 4x - 10 ≤ 22?

Back

x ≤ 8.