Review Solve Inequalities

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, greater than or equal to, or less than or equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the solution to the inequality: 7p + 3 > 24?

Back

p > 3

Front

What is the solution to the inequality: 30 + n ≥ 50?

Back

n ≥ 20

Front

What is the solution to the inequality: -2x ≥ 22?

Back

x ≤ -11

Front

What is the solution to the inequality: 4y - 8 ≤ 16?

Back

y ≤ 6

Front

When solving inequalities, what happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) means the value is strictly more, while 'greater than or equal to' (≥) includes the value itself.

Front

What is the difference between 'less than' and 'less than or equal to'?

Back

'Less than' (<) means the value is strictly less, while 'less than or equal to' (≤) includes the value itself.

Front

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

Back

Use an open circle for 'greater than' or 'less than' and a closed circle for 'greater than or equal to' or 'less than or equal to'.