Review Solve 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 an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

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

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

How do you solve the inequality -5m < 10?

Back

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

Front

What is the solution to the inequality 3x - 2 ≥ 34?

Back

Add 2 to both sides and then divide by 3: x ≥ 12.

Front

How do you solve the inequality 30 + n ≥ 50?

Back

Subtract 30 from both sides: n ≥ 20.

Front

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

Back

Divide both sides by -8 and reverse the inequality sign: x > -6.

Front

What does it mean if a dot is colored in on a number line for the inequality 5 ≥ x?

Back

It means that the value of x can be equal to 5, so the dot is included.