Solve the inequality for y.

y - 8x < 1

a. y < -8x - 1

b. y < -8x + 1

c. y < 8x - 1

d. y < 8x + 1

Step-by-step explanation:

to solve this problem,

y -8x < 1

add 8x from both sides of the equation

y-8x+8x <1+8x

use the rules of integer to solve the problem

y < 8x + 1

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