Question

Solve for x: 3|x − 3| + 2 = 14

No solutions
x = −1, x = 8.3
x = 0, x = 7
x = −1, x = 7

Answer 1

The absolute sign means that if you get a negative inside the sign, it's a positive, and if the number is positive inside the sign, it is still positive.

3|x − 3| + 2 = 14

You can plug in the answer choices since you have answer choices to chose from:

3|x − 3| + 2 = 14
3|-1-3| + 2 =14
3|-4| + 2 =14
3(4)+2
12 +2 = 14
14 = 14

3|x − 3| + 2 = 14
3|7 − 3| + 2 = 14
3|4| + 2 = 14
3(4) + 2 =14
12 + 2 =14
14 = 14

Since both -1 and 7 work, the solution to the equation is x= -1 or 7.

Answer 2

thanks!!!!!!!!!!!!!!

Answer 3

You're welcome!