Math Problem Statement
Solve the following inequality for x.
A. x < -4 B. x ≤ 6 C. x < 7 D. x ≥ 8
Solution
To solve the inequality, the exact inequality equation is required. Since it is not specified in your query, I’ll outline a generic approach to solving inequalities and explain how each potential option relates to the solution:
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Step 1: Write the inequality.
Example: or , etc. -
Step 2: Isolate .
- Subtract or add terms to simplify the inequality.
- Divide or multiply by the coefficient of . (If you multiply or divide by a negative number, reverse the inequality sign.)
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Step 3: Compare to the answer options.
- Analyze the direction of the inequality and the boundary value to identify the correct choice.
If you provide the exact inequality (e.g., , ), I can solve it explicitly. Could you clarify or upload an image of the problem?
Meanwhile, here’s an example:
Example: Solve .
- Add 5 to both sides:
. - Divide by 2:
.
Here, the correct answer would be .
If you'd like details or a specific inequality solved, please let me know!
Here are 5 relative questions expanding this:
- How do you solve compound inequalities?
- What happens when multiplying an inequality by a negative number?
- How does graphing inequalities on a number line work?
- How do absolute values affect inequalities?
- Can inequalities have no solution or infinite solutions?
Tip: Always check your solution by substituting a test value into the original inequality!
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Linear Equations
Formulas
Basic inequality manipulation (e.g., ax + b < c)
Rule for reversing inequality sign when multiplying/dividing by a negative number
Theorems
Addition Property of Inequalities
Multiplication Property of Inequalities
Suitable Grade Level
Grades 7-10