Solving & Graphing One- Step Inequalities

Front

What does the phrase 'At most' indicate in an inequality?

Back

It indicates that the value is less than or equal to a certain number, represented as ≤.

Front

How do you represent the inequality for the statement 'No more than 11'?

Back

The inequality is represented as a ≤ 11.

Front

What does a closed dot on a number line represent in terms of inequalities?

Back

A closed dot indicates that the number is included in the solution set, meaning the inequality is 'greater than or equal to' (≥) or 'less than or equal to' (≤).

Front

In the inequality 5 ≥ x, what does the inequality signify about the value of x?

Back

It signifies that x can be any value that is less than or equal to 5.

Front

How do you determine if a given value satisfies an inequality?

Back

Substitute the value into the inequality and check if the statement is true.

Front

What is the solution to the inequality x + 9 > 21 when x = 15?

Back

True, because substituting 15 gives 15 + 9 > 21, which simplifies to 24 > 21.

Front

What does the inequality 5x < 20 represent in terms of x?

Back

It represents that x must be less than 4, since dividing both sides by 5 gives x < 4.

Front

What is the difference between 'greater than' (>) and 'greater than or equal to' (≥) in inequalities?

Back

'Greater than' (>) does not include the boundary value, while 'greater than or equal to' (≥) includes it.

Front

How can you graph the inequality x < 3 on a number line?

Back

Draw an open dot at 3 and shade to the left to indicate all values less than 3.

Front

What does the term 'solution set' refer to in the context of inequalities?

Back

The solution set is the set of all values that satisfy the inequality.