Solve the absolute value inequality. Write the solution in interval notation.
-$$\left| \frac { m - 12 } { 4 } \right|

Question

Solve the absolute value inequality. Write the solution in interval notation.
-$$\left| \frac { m - 12 } { 4 } \right| < 19$$
A) $( - \infty , - 16 ) \cup ( 22 , \infty )$
B) $( - 88,64 )$
C) $( - 64,88 )$
D) $( - 16,22 )$

Quizplus · Accepted Answer

The inequality $\left| \frac { m - 12 } { 4 } \right| < 19$ can be solved by removing the absolute value, which gives two inequalities: $\frac { m - 12 } { 4 } < 19$ and $\frac { m - 12 } { 4 } > -19$. Solving these gives $m < 88$ and $m > -64$, respectively. Thus, the solution in interval notation is $( - 64,88 )$.

Solve the Absolute Value Inequality ∣m−124∣<19\left| \frac { m - 12 } { 4 } \right| < 19​4m−12​​<19

Solve the Absolute Value Inequality $\left| \frac { m - 12 } { 4 } \right| < 19$