Math Problem Statement
Look at the inequality below.
−6x−4≤−4
Which of these values of x does not make the inequality true? A.−4
Solution
We are given the inequality:
Step 1: Isolate
First, add 4 to both sides to eliminate the constant term on the left-hand side:
This simplifies to:
Step 2: Solve for
Now, divide both sides by . When dividing by a negative number, remember to reverse the inequality sign:
Step 3: Analyze the options
We need to check which of the given values does not satisfy the inequality .
The option provided is .
Since is less than 0, it does not satisfy the inequality .
Conclusion:
The value of that does not make the inequality true is:
Would you like further details or have any questions about this solution?
Here are 5 related questions to explore:
- How do you solve inequalities involving division by a negative number?
- What happens to the inequality sign when multiplying or dividing by a negative number?
- How would you represent this inequality on a number line?
- What is the difference between strict inequalities and inclusive inequalities?
- Can you verify the solution by substituting values into the original inequality?
Tip: Always remember to flip the inequality sign when multiplying or dividing by a negative number!
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Formulas
Inequality manipulation
Theorems
Rule of Inequalities (Multiplying/Dividing by Negative Numbers)
Suitable Grade Level
Grades 6-8
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