Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, 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 solve the inequality 77 ≤ 5 + 8n?

Back

Subtract 5 from both sides: 72 ≤ 8n, then divide by 8: 9 ≤ n or n ≥ 9.

Front

When graphing the inequality b < 6, what type of circle is used?

Back

An open circle is used when graphing b < 6.

Front

Solve the inequality x + 5 ≤ 13.

Back

x ≤ 8.

Front

What does the inequality 22 < 6c + 4 represent?

Back

It can be solved to find c: 18 < 6c, so c > 3.

Front

Write an inequality for the situation: We need to make at least $10,000.

Back

x ≥ 10000.

Front

What is the solution to the inequality 3 < c?

Back

c > 3.

Front

How do you graph the inequality x ≤ 8?

Back

You draw a closed circle on 8 and shade to the left.