Q. Solve for r.−∣r∣=−3Write your answers as integers or as proper or improper fractions in simplest form.r= _____ or r= _____
Understand the equation: Understand the equation.We have the equation ∣r∣=−3. This means the absolute value of r, when negated, equals −3.
Isolate the absolute value: Isolate the absolute value.To find the value of r, we first need to isolate the absolute value on one side of the equation. Since both sides of the equation are negative, we can multiply both sides by −1 to get ∣r∣=3.
Solve for r: Solve for r.The absolute value of a number is always non-negative. Therefore, if ∣r∣=3, then r can be either 3 or −3 because both 3 and −3 have an absolute value of 3.