Q. Solve for w.6=∣−w∣Write your answers as integers or as proper or improper fractions in simplest form.w= _____ or w= _____
Understand the equation: Understand the equation 6=∣−w∣.The absolute value of a number is always non-negative. Therefore, if ∣−w∣=6, then −w can be either 6 or −6.
Solve for w when: Solve for w when −w=6. To find w, we need to isolate it on one side of the equation. We do this by multiplying both sides by −1. −w=6 becomes w=−6 after multiplying by −1.
Solve for w when: Solve for w when −w=−6. Similarly, we multiply both sides by −1. −w=−6 becomes w=6 after multiplying by −1.