Solve the following absolute value inequality. Graph the solution set on a real number line. |3x +11 <8
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution set is
(Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)
O B. The solution set is {} or Ø.

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

sadsadsadsad

step-by-step explanation: