Benchmark 2 Review 3

Front

What does a closed circle on a number line represent in inequalities?

Back

A closed circle indicates that the number is included in the solution set, represented by the symbol ≤ or ≥.

Front

What does a solid line indicate in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set, which occurs when the inequality has an equal sign (≤ or ≥).

Front

Evaluate the inequality: Is x + 9 > 21 true when x = 15?

Back

True, because 15 + 9 = 24, which is greater than 21.

Front

Are boundary points included in the solution set for inequalities with ≤ or ≥?

Back

Yes, boundary points are included in the solution set for inequalities with ≤ or ≥.

Front

Back

Front

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

Back

The symbol '>' means that the value on the left is greater than the value on the right, and the boundary line is dotted.

Front

What is the difference between the symbols < and ≤?

Back

The symbol < means 'less than' and does not include the boundary, while ≤ means 'less than or equal to' and includes the boundary.

Front

How do you determine if an inequality is represented by a solid or dotted line?

Back

If the inequality includes an equal sign (≤ or ≥), it is represented by a solid line; otherwise, it is represented by a dotted line.

Front

What does the solution set of an inequality represent?

Back

The solution set represents all the values that satisfy the inequality.

Front

If x + 9 ≤ 21, what is the maximum value of x?

Back

The maximum value of x is 12, because x + 9 ≤ 21 implies x ≤ 12.