Q. Solve for j.∣−5j∣=0Write your answers as integers or as proper or improper fractions in simplest form.j= _____ or j= _____
Understand absolute value equation: Understand the absolute value equation.The equation ∣−5j∣=0 means that the absolute value of −5j is equal to 0.
Solve absolute value equation: Solve the absolute value equation.Since the absolute value of any number is non-negative and the only number whose absolute value is 0 is 0 itself, we can conclude that −5j must be equal to 0.
Isolate variable j: Isolate the variable j. To find the value of j, we divide both sides of the equation by –5. –5j/–5=0/–5j=0
Check for other solutions: Check for any other possible solutions.Since the absolute value of a number can be positive or negative, we typically check for two solutions. However, in this case, since 0 is the only number that has an absolute value of 0, there is only one solution.j=0