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 in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in inequalities?

Back

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

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

How do you solve the inequality -2x + 5 > 15?

Back

Subtract 5 from both sides: -2x > 10. Then divide by -2 (remember to flip the inequality): x < -5.

Front

How do you solve the inequality 3 < -5n + 2n?

Back

Combine like terms: 3 < -3n. Then divide by -3: n < -1.

Front

How do you solve the inequality -x/6 ≥ 5?

Back

Multiply both sides by -6 (flip the inequality): x ≤ -30.

Front

What is the first step in solving the inequality 3 - 5(x - 4) ≥ 20?

Back

Distribute the -5: 3 - 5x + 20 ≥ 20.

Front

What does the solution to an inequality represent?

Back

The solution to an inequality represents a range of solutions, not just one specific value.