Question

related questions: lesson 5: inequalities

select the answer that indicates if the value is within the solution set of the inequality shown on the graph.

q.

-2 select one
10 select one
-1 select one

Explanation:

Identify the inequality from the graph

Using the Graphing Compound Inequalities knowledge point:

• The graph shows an open circle at \(-1\).
• The shaded blue arrow extends to the right, towards positive infinity.
• This represents the inequality \(x > -1\).

Evaluate the value -2

Using the Inequality Solution Sets knowledge point:

• We substitute \(x = -2\) into the inequality \(x > -1\).
• The statement \(-2 > -1\) is false.
• Therefore, \(-2\) is "Not in the solution set".

Evaluate the value 10

Using the Inequality Solution Sets knowledge point:

• We substitute \(x = 10\) into the inequality \(x > -1\).
• The statement \(10 > -1\) is true.
• Therefore, \(10\) is "In the solution set".

Evaluate the value -1

Using the Inequality Solution Sets knowledge point:

• We substitute \(x = -1\) into the inequality \(x > -1\).
• Since there is an open circle at \(-1\), \(-1\) itself is not included.
• The statement \(-1 > -1\) is false.
• Therefore, \(-1\) is "Not in the solution set".

Answer:

Value	Solution Set Status
\(10\)	In the solution set
\(-1\)	Not in the solution set