Question

Find the values of x in the following equation:|-5x + -2| + 3 = 11
A. x = -3.2 or x = -2
B. x = -1.2 or x = 2
C. x = -2 or x = 1.2
D. x = -2 or x = 3.2

Answer 1

|-5x + -2| + 3 = 11

|-5x + -2| = 8

Agree @AriannaA

Answer 2

May I ask how you got that? :o

Answer 3

|-5x + -2| + 3 = 11

|-5x + -2| + 3 + (-3) = 11 + (-3)

Answer 4

|-5x + -2| + 3 + (-3) = 11 + (-3)

|-5x + -2| + 0 = 8

Answer 5

|-5x + -2| + 0 = 8

|-5x + -2| = 8

Answer 6

Is that okay?

Answer 7

So what does X equal? D:
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Answer 8

We are moving by steps here to get in a position to apply the definition of the absolute value function to solve the problem.

Answer 9

| x | = x if x is positive or zero, but -x if x is negative

Answer 10

By definition of absolute value:

-5x + -2 = 8 OR -5x + -2 = -8

Solve each of the two equations for x. @AriannaA

Answer 11

I don't understand. >.<

Answer 12

It is a good idea to memorize the definition of absolute value.

| x | = x if x is positive or zero, but -x if x is negative

Answer 13

|8 |= 8

Also, |-8| = 8

Answer 14

So, what is between the bars is equal to 8 or to -8 because both 8 and -8 have the same absolute value.

Answer 15

-5x + -2 is between the absolute value bars.

Answer 16

So, -5x + -2 = 8 OR -5x + -2 = -8
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Solve -5x + -2 = 8 for x.

Then, solve -5x + -2 = -8 for x.

The question has two answers.

Answer 17

@AriannaA

Please check to see if the options are correctly posted. Thanks.