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

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' 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 inequalities?

Back

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

Front

How do you solve the inequality -9h > -63?

Back

Divide both sides by -9 and reverse the inequality sign: h < 7.

Front

What is the solution to the inequality 5w ≥ 30?

Back

Divide both sides by 5: w ≥ 6.

Front

How do you graph the inequality b ≤ -2?

Back

Draw a number line, place a closed circle on -2, and shade to the left.

Front

How do you graph the inequality a ≥ 11?

Back

Draw a number line, place a closed circle on 11, and shade to the right.

Front

What is the first step in solving the inequality -9x + 7 ≥ 25?

Back

Subtract 7 from both sides: -9x ≥ 18.