One-Step Inequalities (Multiplication & Division) (5-2)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, 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 8x < 48?

Back

x < 6

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable, perform the same operations on both sides of the inequality, just like in equations, but remember to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What is the solution to the inequality c > 250?

Back

c > 250 means that the value of c must be greater than 250.

Front

What is the solution to the inequality x / 4 ≥ -3?

Back

x ≥ -12

Front

What does the inequality n / 3 > -20 represent?

Back

It represents that n must be greater than -60.

Front

What is the solution to the inequality -4x ≥ 8?

Back

x ≤ -2

Front

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

Back

The inequality sign reverses when you multiply or divide both sides by a negative number.

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.