Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, or ≥) to show that one expression is not equal to the other.

Front

How do you solve the inequality -5(w - 4) < -5w - 15?

Back

The solution is: No solutions to this inequality.

Front

What does the inequality x + 5 ≤ 13 represent?

Back

It represents that x can take any value less than or equal to 8.

Front

What is the inequality that models the statement 'Four times a number, increased by 6 is greater than 22'?

Back

The inequality is 4x + 6 > 22.

Front

How do you solve the inequality 4h < 8?

Back

The solution is: h < 2.

Front

What does the symbol '>' mean in an inequality?

Back

'>' means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

'<' means 'less than'.

Front

What does the symbol '≥' mean in an inequality?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean in an inequality?

Back

'≤' means 'less than or equal to'.

Front

How do you graph the inequality x ≤ 8?

Back

You draw a number line, shade to the left of 8, and put a closed circle on 8.