What is the solution set of (x - 2)(x - 3) = 2?

X = 4, 1

Step-by-step explanation:

Multiplying out

X^2 - 2x - 3x +6 = 2

X^2 - 5x +4 = 0

Factoring:

X^2 - 4x - X +4

X(x-4) - 1(x-4)

(x-1)(x-4)=0

X= 1, 4

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

d 600 because 15*10*2=300

300+300=600

step-by-step explanation: