Question #6443212Fill in the Blank
Algebra-1
Question
Solve the inequality . The solution is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve an inequality with variables on both sides. The key steps involve isolating the variable and simplifying the inequality.
Key Concept Explanation
To solve inequalities, we use the properties of equality, such as addition and subtraction, to isolate the variable. When we multiply or divide by a negative number, we must reverse the inequality sign.
Step-by-step Solution
1. Subtract 2z from both sides: .
2. Subtract 8 from both sides:
This question tests the student's ability to solve an inequality with variables on both sides. The key steps involve isolating the variable and simplifying the inequality.
Key Concept Explanation
To solve inequalities, we use the properties of equality, such as addition and subtraction, to isolate the variable. When we multiply or divide by a negative number, we must reverse the inequality sign.
Step-by-step Solution
1. Subtract 2z from both sides: .
2. Subtract 8 from both sides:
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