Math Problem Statement
−8≥-8x
Solution
To solve the inequality , follow these steps:
Step 1: Divide both sides by
Since we're dividing by a negative number, remember to reverse the inequality sign:
This simplifies to:
or equivalently:
Final Answer:
The solution is .
Would you like more details on any step or another explanation?
Here are 5 related questions:
- How do you solve inequalities with variables on both sides?
- How do you graph the solution of an inequality like ?
- What happens when multiplying or dividing both sides of an inequality by a negative number?
- Can you solve ?
- How does solving inequalities differ from solving equations?
Tip: Always remember to reverse the inequality sign when you multiply or divide by a negative number!
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Math Problem Analysis
Mathematical Concepts
Inequalities
Linear Equations
Algebra
Formulas
Division of both sides of an inequality
Reversing the inequality when dividing by a negative number
Theorems
Reversal of inequality when multiplying or dividing by a negative number
Suitable Grade Level
Grades 7-9