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 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 flip the inequality sign: m > -2.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips.

Front

What is the solution to the inequality 0.75n + 1.75 ≤ 20?

Back

n ≤ 24.

Front

How do you represent the solution of an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥.

Front

What does the inequality x < -4 represent on a number line?

Back

It represents all numbers less than -4.

Front

What is the solution to the inequality -8x < 48?

Back

x > -6.

Front

What is the first step in solving the inequality 2x + 3 > 7?

Back

Subtract 3 from both sides: 2x > 4.