Question #6443233Fill in the Blank
Algebra-1
Question
Solve the inequality . Write your answer in the form .
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to solve an inequality with variables on both sides. The objective is to isolate the variable w on one side of the inequality.
Key Concept Explanation
The key concept here is the use of the properties of inequalities, specifically addition and subtraction, to isolate the variable. It also involves the understanding that when all terms involving the variable are moved to one side and constants to the other, the inequality can be solved.
Step-by-step Solution
1. Subtract 3w from both sides:
2. Add 8 to both sides:
This question assesses the student's ability to solve an inequality with variables on both sides. The objective is to isolate the variable w on one side of the inequality.
Key Concept Explanation
The key concept here is the use of the properties of inequalities, specifically addition and subtraction, to isolate the variable. It also involves the understanding that when all terms involving the variable are moved to one side and constants to the other, the inequality can be solved.
Step-by-step Solution
1. Subtract 3w from both sides:
2. Add 8 to both sides:
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