Solving One Step 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 for an inequality to be true?

Back

An inequality is true if the values of the variables satisfy the relationship defined by the inequality.

Front

How do you solve a one-step inequality?

Back

To solve a one-step inequality, isolate the variable on one side of the inequality by performing the same operation on both sides.

Front

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

Back

'Greater than' (>) means the left side is strictly larger than the right side, while 'greater than or equal to' (≥) includes the possibility that both sides are equal.

Front

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

Back

'Less than' (<) means the left side is strictly smaller than the right side, while 'less than or equal to' (≤) includes the possibility that both sides are equal.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, 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', then shade the appropriate direction.

Front

What does the solution x ≤ 72 represent?

Back

The solution x ≤ 72 represents all values of x that are less than or equal to 72.

Front

How do you check if a value satisfies an inequality?

Back

To check if a value satisfies an inequality, substitute the value into the inequality and see if the resulting statement is true.

Front

What is the solution to the inequality k + 3.5 ≤ 19?

Back

To solve k + 3.5 ≤ 19, subtract 3.5 from both sides to get k ≤ 15.

Front

What does it mean if an inequality is false for a given value?

Back

If an inequality is false for a given value, it means that the value does not satisfy the relationship defined by the inequality.