Question

Solve. Write in interval notation. 15-3|x-4|<18

Answer 1

Hi,

Solving:

$15 - 3 |x - 4| < 18 \\ - 3 \times |x - 4| < 18 - 15 \\ - 3 \times |x - 4| < 3 \\ 3 \times |x - 4| > - 3 \\ x \in r$

Answer: The statement is true for any value of x.

Hope this helps.
r3t40

Answer 2

$15-3|x-4|<18 \\\\-3|x-4|<3\\\\|x-4|>-1\\\\x\in (-\infty,\infty)$