Question #6443321Fill in the Blank
Algebra-1
Question
Solve the inequality . Express your answer in the form .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve inequalities with variables on both sides. The key is to isolate the variable on one side of the inequality.
Key Concept Explanation
To solve inequalities, we use the properties of equality, including addition, subtraction, multiplication, and division. When multiplying or dividing by a negative number, the direction of the inequality sign must be reversed.
Step-by-step Solution
1. Subtract 3z from both sides:
2. Add 2 from both sides:
This question tests the student's ability to solve inequalities with variables on both sides. The key is to isolate the variable on one side of the inequality.
Key Concept Explanation
To solve inequalities, we use the properties of equality, including addition, subtraction, multiplication, and division. When multiplying or dividing by a negative number, the direction of the inequality sign must be reversed.
Step-by-step Solution
1. Subtract 3z from both sides:
2. Add 2 from both sides:
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