{x+2} =8 which of the following is the solution set for the equation

a) {6,6{

b){6,-10}

c) {6,6}

d) {-6, 10}

which one is the answer

{x+2} =8 which of the following is the solution set for the equation

a) {6,6{

b){6,-10}

c) {6,6}

d) {-6, 10}

which one is the answer

Tutors, please sign in to answer this question.

I think the curly bracket { is a modulus written like |

Questions of this type will have two solutions as indicated in the solution choices.

Remember that modulus changes negative to positive values.

1st solution: put a negative sign around (x+2) and solve

-(x+2) = 8

taking negative into the parenthesis,

-x -2 = 8

i.e. - x = 10 or x = -10

2nd solution: solve with the positive sign around (x+2)

x+2 = 8 i.e. without the negative sign

x = 8 - 2 = 6

so solution b) ( 6,-10) is the right answer.

The other approach is to squaring method;

Square both sides of the equation:

(x+2)^2 = 8^2

x^2 + 4x + 4 = 64

bringing 64 to the left of the equation,

x^2 + 4x - 60 = 0

Factorizing the above equation

x^2 + 10x - 6x - 60 = 0

(x+10) (x-6) = 0

x+10 = 0 or x = -10

or

x - 6 = 0 or x = 6

Again, b) is the right answer (6, -10)

Rodrigo R.

Reliable tutor in Economics, Math and Statistics

Jersey City, NJ

4.8
(261 ratings)

Christopher A.

Tutor Expert in ACT, SAT, Math, Writing, Excel, Study Skills and More

Far Rockaway, NY

5.0
(618 ratings)

Grace L.

Math/Science, Test Prep Tutor

Brooklyn, NY

4.9
(266 ratings)