Determine whether the equation in one variable is linear.
-$$| x + 2 | = 6$$
A) linear
B) not linear

Question

Quizplus · Accepted Answer

The equation is not linear because it involves the absolute value of the variable expression, which does not produce a straight line when graphed. Linear equations in one variable have the form $ax + b = 0$, where $a$ and $b$ are constants and $a \neq 0$. The absolute value introduces a piecewise linear function, which is not linear in the strict sense.

Determine Whether the Equation in One Variable Is Linear ∣x+2∣=6| x + 2 | = 6∣x+2∣=6

Determine Whether the Equation in One Variable Is Linear $| x + 2 | = 6$