5-3 Solving Multi-Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as >, <, ≥, or ≤.

Front

How do you solve a multi-step inequality?

Back

To solve a multi-step inequality, isolate the variable by performing inverse operations, similar to solving an equation, while maintaining the direction of the inequality.

Front

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

Back

'>' means 'greater than'. For example, x > 5 means x is any number greater than 5.

Front

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

Back

'<' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

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

Back

'≥' means 'greater than or equal to'. For example, x ≥ 4 means x is any number greater than or equal to 4.

Front

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

Back

'≤' means 'less than or equal to'. For example, x ≤ 2 means x is any number less than or equal to 2.

Front

Solve the inequality: 6n + 4 > -26

Back

n > -5

Front

Solve the inequality: 23 < f + 12

Back

f > 11

Front

Solve the inequality: 6x + 10 > 5x - 12

Back

x > -22

Front

Solve the inequality and graph: 4n ≥ -40 + 2n

Back

n ≥ -20 (Graph includes -20 and all numbers greater).