Question #6444966Fill in the Blank
Algebra-1
Question
Refer to the graph below. The inequality represented by the shaded region is __________.

Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to recognize and interpret inequalities on a number line. The shaded region to the left of 2.5 with an open circle at 2.5 indicates that all values less than 2.5 are part of the solution set.
Key Concept Explanation
Inequalities use symbols such as , , , and to compare two expressions. On a number line, an open circle indicates that the point is not included in the solution set, while a shaded region to the left or right of the point indicates the range of values that satisfy the inequality.
Step-by-step Solution
1. Identify the position of the open circle on the number line (at 2.5).
2. Determine the direction of the shading (to the left of 2.5).
3. Conclude that the inequality is
This question tests the student's ability to recognize and interpret inequalities on a number line. The shaded region to the left of 2.5 with an open circle at 2.5 indicates that all values less than 2.5 are part of the solution set.
Key Concept Explanation
Inequalities use symbols such as , , , and to compare two expressions. On a number line, an open circle indicates that the point is not included in the solution set, while a shaded region to the left or right of the point indicates the range of values that satisfy the inequality.
Step-by-step Solution
1. Identify the position of the open circle on the number line (at 2.5).
2. Determine the direction of the shading (to the left of 2.5).
3. Conclude that the inequality is
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