1.which statement best describes a method that can be used to sketch the graph y=|x+1|?
a. translate the graph of y=|x| one unit up.
b. translate the graph of y=|x| one unit down.
c. translate the graph of y=|x| one unit left.
d. translate the graph of y=|x| one unit right.
2. which statement best describes a method that can be used to sketch the graph y=|x|+1?

a. translate the graph of y=|x| one unit up.
b. translate the graph of y=|x| one unit down.
c. translate the graph of y=|x| one unit left.
d. translate the graph of y=|x| one unit right

what is the answer?

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is