Question

Which of the following is(are) the solution(s) to | 3x + 10 | = 10

Answer 1

`|3x+10|=10\iff3x+10=10\ \vee\ 3x+10=-10\qquad|-10\\\\3x=0\ \vee\ 3x=-20\qquad|:3\\\\\boxed{x=0\ \vee\ x=-(20)/(3)}`

Answer 2

The possible solutions to the function are x = 0 and x = -20/3

Explanation:

Given the equation | 3x + 10 | = 10, the solution to the equation will be two values due to the modulus sign.

Note that any value in a modulus sign can either be positive or negative.

For the positive value of | 3x + 10 | = 10:

3x+10 = 10

3x = 10-10

3x = 0

x = 0

For the negative value of | 3x + 10 | = 10:

-(3x+10) = 10

-3x-10 = 10

-3x = 10+10

-3x = 20

x = -20/3

The possible solutions to the function are x = 0 and x = -20/3