Question

Which is the solution set of the inequality -15y+9<-36

Answer 1

Answer:

$-15y+93\:\\ \:\mathrm{Interval\:Notation:}&\:\left(3,\:\infty \:\right)\end{bmatrix}$

Therefore, the first choice is correct.

The graph of the inequality is also attached below.

Step-by-step explanation:

Considering the inequality

$-15y+9$

solving

$-15y+9$

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}$

$-15y+9-9$

$-15y$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

$\left(-15y\right)\left(-1\right)>\left(-45\right)\left(-1\right)$

$15y>45$

$\mathrm{Divide\:both\:sides\:by\:}15$

$\frac{15y}{15}>\frac{45}{15}$

$y>3$

In other words,

$-15y+93\:\\ \:\mathrm{Interval\:Notation:}&\:\left(3,\:\infty \:\right)\end{bmatrix}$

Therefore, the first choice is correct.

The graph of the inequality is also attached below.