Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

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 -5m < 10?

Back

Divide both sides by -5 and reverse the inequality sign: m > -2.

Front

How do you solve the inequality s - 10 ≤ 1?

Back

Add 10 to both sides: s ≤ 11.

Front

How do you solve the inequality 5z - 2z - 2 < 13?

Back

Combine like terms to get 3z - 2 < 13, then add 2 and divide by 3: z < 5.

Front

How do you solve the inequality 3x - 2 < 13?

Back

Add 2 to both sides: 3x < 15, then divide by 3: x < 5.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40, then divide by -4 and reverse the inequality: x ≥ -10.