Math Problem Statement
Look at the inequality below.
−6x−4≤−4
Which of these values of x does not make the inequality true? A.2.5
B.0
C.17
D.−4
Solution
To solve the inequality , follow these steps:
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Simplify the inequality by adding 4 to both sides: This simplifies to:
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Divide both sides by -6 to solve for , and remember to reverse the inequality sign when dividing by a negative number:
The solution to the inequality is , which means any value of that is greater than or equal to 0 will satisfy the inequality.
Now, let's check each of the answer choices:
- A. : Since , this value satisfies the inequality.
- B. : Since , this value satisfies the inequality.
- C. : Since , this value satisfies the inequality.
- D. : Since is false, this value does not satisfy the inequality.
Thus, the answer is D. .
Would you like more details or have any questions?
Here are 5 related questions to expand the topic:
- What happens when dividing inequalities by a negative number?
- How would you solve the inequality ?
- Can you graph the inequality on a number line?
- What is the difference between solving an equation and an inequality?
- How do you handle compound inequalities involving "and" or "or"?
Tip: Always remember to reverse the inequality sign when multiplying or dividing both sides by a negative number!
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Solving Linear Inequalities
Formulas
Inequality manipulation: -6x - 4 ≤ -4
Division by negative numbers in inequalities
Theorems
Rule for reversing inequality signs when multiplying or dividing by negative numbers
Suitable Grade Level
Grades 6-8