Question

Consider this equation. |y + 6| = 2 What can be concluded of the equation? Check all that apply. There will be one solution. There will be two solutions. The solution to –(y + 6) = 2 will be also be a solution to the given absolute value equation. The solution(s) will be the number(s) on the number line 2 units away from –6. The value of y must be positive since the variable is inside absolute value signs.

Answer 1

See below.

Explanation:

|y + 6| = 2

This means y + 6 = 2 or y + 6 = -2 giving y = -4 , y = -8.

Answers:

So we have 2 solutions.

The solution to -(y + 6) will also be a solution to the absolute equation.

The solutions will be the numbers on the number line 2 units away from -6.

Answer 2

There will be two solutions

Explanation:

The equation |y+6| = 2 will give us 2 values of y because of the modulus sign. The modulus sign shows that the value of y+6 will be next a negative and positive value. Solving the equation. If |y+6| is positive we have;

y+6 = 2

y = 2-6

y = -4

If |y+6| is negative, the equation becomes;

-(y+6) = 2

-y-6 = 2

-y = 2+6

-y = 8

y = -8

This shows that there will be 2solutions. The solutions are -4 and -8