Question

Absolute value inequalities. 10-4|9y-10|<-94

Answer 1

Answer: $\begin{bmatrix}\mathrm{Solution:}\:&\:y4\:\\ \:\mathrm{Decimal:}&\:y4\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-\frac{16}{9}\right)\cup \left(4,\:\infty \:\right)\end{bmatrix}$

Step-by-step explanation:

$10-4\left|9y-10\right|$

$10-4\left|9y-10\right|-10$

$-4\left|9y-10\right|$

$\left(-4\left|9y-10\right|\right)\left(-1\right)>\left(-104\right)\left(-1\right)$

$4\left|9y-10\right|>104$

$\frac{4\left|9y-10\right|}{4}>\frac{104}{4}$

$\left|9y-10\right|>26$

$9y-1026$

$y4$