Solve the following any quality and write the solution in set form and then graph the solution set

Step-by-step explanation:

We need to isolate "x" on one side of the inequality symbol, then we divide both sides by "-3", recalling that dividing by a negative number changes the direction of the inequality:

- 3 x < - 15

x > (-15) / (-3)

x > 5

Which can be represented on the number line as shown in the attached image.

step-by-step explanation:

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