Question

Select the correct answer. How many solutions exist for | 0.5x+1|=5 ? A. 0 B. 1 C. 2 D. 3

Answer 1

Answer:

C

Step-by-step explanation:

The absolute value function always gives a positive value, however the expression inside can be positive or negative, that is

0.5x + 1 = 5 ( subtract 1 from both sides )

0.5x = 4 ( divide both sides by 0.5 )

x = 8

OR

- (0.5x + 1) = 5

- 0.5x - 1 = 5 ( add 1 to both sides )

- 0.5x = 6 ( divide both sides by - 0.5 )

x = - 12

There are 2 solutions to the equation

x = 8 or x = - 12

Answer 2

Answer:

the answer is one

Step-by-step explanation:

I used a calculator