Math Problem Statement
verifying solutions to inequalities 2(x-4)+x≥8; is -2 a solution
Solution
Let's verify if is a solution to the inequality .
Step 1: Substitute into the inequality.
The inequality is:
Substitute into this expression:
Step 2: Simplify the expression.
First, simplify inside the parentheses:
Now, multiply:
Simplify:
Step 3: Evaluate the result.
Clearly, is not greater than or equal to .
Conclusion:
Since is false, is not a solution to the inequality.
Would you like more details or have any further questions? Here are some related questions you might explore:
- How do you solve linear inequalities step by step?
- What is the difference between solving inequalities and solving equations?
- How can you graph the solution of an inequality on a number line?
- Can inequalities have multiple solutions, and how do you represent them?
- How do you solve compound inequalities (e.g., two inequalities combined)?
Tip: Always check your solution by substituting back into the original inequality to ensure correctness.
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Substitution
Formulas
2(x - 4) + x ≥ 8
Theorems
Properties of inequalities
Suitable Grade Level
Grades 7-9