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?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you represent 'x is less than 5' in inequality form?

Back

x < 5

Front

How do you represent 'x is greater than or equal to 3' in inequality form?

Back

x ≥ 3

Front

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

Back

x < 4

Front

What does a closed dot on a number line indicate?

Back

A closed dot indicates that the number is included in the solution (≤ or ≥).

Front

What does an open dot on a number line indicate?

Back

An open dot indicates that the number is not included in the solution (< or >).

Front

How do you solve the inequality 3x - 5 ≥ 4?

Back

x ≥ 3.

Front

What is the solution to the inequality 5x + 2 < 17?

Back

x < 3.