Question

solve and graph the inequality. then, select all true statements.
\\( \frac { y + 2 } { 3 } > 8 \\)
a the shading would look like:
b the shading would look like:
c the solution set is \\( y > 18 \\)
d the shading would look like:
e the solution set is \\( y > 22 \\).
f the shading would look like:
g the first step is to multiply both
h the first step is to subtract 2 on

Explanation:

Step1: Multiply both sides by 3

$$\frac{y + 2}{3}\times3>8\times3$$
$$y + 2>24$$

Step2: Subtract 2 from both sides

$$y+2 - 2>24 - 2$$
$$y>22$$

Since \(y>22\), the circle on the graph is open (because the inequality is strict, \(y\) is not equal to 22) and shading is to the right (because \(y\) is greater than 22).

Answer:

E. The solution set is \(y > 22\).
F. The shading would look like (open circle at 22, shading to the right).
G. The first step is to multiply both sides by 3.