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 '<' represent?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' represent?

Back

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

Front

What does the symbol '≥' represent?

Back

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

Front

How do you graph the inequality x < 3?

Back

You draw a number line, place an open dot at 3, and shade to the left.

Front

How do you graph the inequality x ≥ 4?

Back

You draw a number line, place a closed dot at 4, and shade to the right.

Front

What is the solution to the inequality 7b - 3 < 11?

Back

b < 2.

Front

What is the solution to the inequality 6x + 10 > 5x - 12?

Back

x > -22.

Front

What is the difference between a closed dot and an open dot on a graph?

Back

A closed dot indicates that the number is included in the solution (≤ or ≥), while an open dot indicates it is not included (< or >).