Question

|-2n| + 10 = -50
{20, -20}
no solution
{30, -30}
{-5, 5}

Explanation:

Step1: Analyze absolute value property

The absolute value of a number, denoted as \(|x|\), is always non - negative, i.e., \(|x|\geq0\) for all real numbers \(x\). In the equation \(|-2n| + 10=-50\), first, we isolate the absolute value term.

Step2: Isolate the absolute value term

Subtract 10 from both sides of the equation: \(|-2n|=-50 - 10=-60\). But we know that the absolute value \(|-2n|\) must be greater than or equal to 0, and \(-60\) is negative. So there is no real number \(n\) that can satisfy this equation.

Answer:

No Solution