Question #6445155Fill 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 a multi-step inequality involving the distributive property and sign reversal. The problem requires the student to handle negative numbers and understand the effect of multiplying or dividing by a negative number on the inequality sign.
This question tests the student's ability to solve a multi-step inequality involving the distributive property and sign reversal. The problem requires the student to handle negative numbers and understand the effect of multiplying or dividing by a negative number on the inequality sign.
Key Concept Explanation
The key concepts here are the distributive property and the sign reversal rule. When multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.
The key concepts here are the distributive property and the sign reversal rule. When multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.
Step-by-step Solution
1. Start with the given inequality:
2. Distribute the -2:
1. Start with the given inequality:
2. Distribute the -2:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!