Solve for x: 3|2x − 2| + 6 = 18. (5 points)

A) x = 1, x = −1
B) x = 3, x = −3
C) x = 3, x = −1
D) x = −3, x = 1

C) x=3,x=-1

Step-by-step explanation:

Step 1: Add -6 to both sides.

3(|2x−2|)+6+−6=18+−6

3(|2x−2|)=12

Step 2: Divide both sides by 3.

3(|2x−2|)/3=12/3

|2x−2|=4

Step 3: Solve Absolute Value.

|2x−2|=4

We know either2x−2=4or2x−2=−4

2x−2=4(Possibility 1)

2x−2+2=4+2(Add 2 to both sides)

2x=6

2x/2=6/2

(Divide both sides by 2)

x=3

2x−2=−4(Possibility 2)

2x−2+2=−4+2(Add 2 to both sides)

2x=−2

2x/2=−2/2

(Divide both sides by 2)

x=−1

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.