Asked by kayla wallace on May 19, 2024
Verified
Determine if x=3x = 3x=3 is a solution to ∣x−3∣>5| x - 3 | > 5∣x−3∣>5 .
A) x=3x = 3x=3 is not a solution.
B) x=3x = 3x=3 is a solution.
Solution
A means by which an issue or problem is solved, or in chemistry, a homogenous mixture of two or more substances.
Absolute Value
A measure of a number's distance from zero, regardless of direction on the number line, represented by \(|x|\).
- Analyze the feasibility of a proposed answer to an equation or inequality.
Verified Answer
GÇ
Göksun ÇatalkayaMay 20, 2024
Final Answer :
A
Explanation :
Substituting the value of xxx into the inequality yields ∣3−3∣>5|3-3|>5∣3−3∣>5 , which simplifies to ∣0∣>5|0|>5∣0∣>5 , but this is not true. Therefore, x=3x=3x=3 is not a solution to the inequality.
Learning Objectives
- Analyze the feasibility of a proposed answer to an equation or inequality.