Chapter 2 Solving Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other.

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality k - 14 ≤ -10?

Back

Add 14 to both sides: k ≤ 4.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the inequality -2k > 18?

Back

Divide both sides by -2 (remember to flip the inequality): k < -9.

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality 5x - 7 ≥ 8?

Back

Add 7 to both sides: 5x ≥ 15, then divide by 5: x ≥ 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

How do you solve the compound inequality 3x - 4 < -13 or 7x + 1 > 22?

Back

Solve each part separately: x < -3 or x > 3.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities using 'and' or 'or'.