Q. Solve for j.∣j+1∣=7Write 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 ∣j+1∣=7 means that the expression inside the absolute value, j+1, can either be 7 or −7, because the absolute value of a number is its distance from 0 on the number line, which is always positive.
Set up two equations: Set up two separate equations to solve for j.Since ∣j+1∣ can be 7 or −7, we have two equations to solve:1) j+1=72) j+1=−7
Solve first equation: Solve the first equation.Subtract 1 from both sides of the equation j+1=7 to isolate j.j+1−1=7−1j=6
Solve second equation: Solve the second equation.Subtract 1 from both sides of the equation j+1=−7 to isolate j.j+1−1=−7−1j=−8