Q. Solve for j.∣j+6∣=0Write your answers as integers or as proper or improper fractions in simplest form.j= _____ or j= _____
Given Equation: We are given the equation ∣j+6∣=0. The absolute value of a number is always non-negative, and it is zero only when the number inside the absolute value is zero. Therefore, we need to find the value of j such that j+6=0.
Find Value of j: To find the value of j, we set the expression inside the absolute value equal to zero and solve for j.j+6=0Subtract 6 from both sides to isolate j.j+6−6=0−6j=−6
Solution: Since the absolute value of a number is zero only when the number itself is zero, there is only one solution to this equation. There is no need to consider a negative solution because the equation inside the absolute value cannot be negative to result in an absolute value of 0.