Question

3. [02.03] Solve for x: |x + 2| + 16 = 14 (2 points) x = −32 and x = −4 x = −4 and x = 0 x = 0 and x = 28 No solution

Answer 1

The answer is x= -4 and x= 0, simply subtract 16 on both sides and solve it with     x-2 = -2 and x+2= -2

Answer 2

The correct option is D) No solution.

Explanation:

Consider the provided equation.

`|x + 2|+16=14`

We need to solve the above equation for x.

Subtract 16 from both the sides.

`|x + 2| + 16-16 = 14-16`

`|x + 2| = -2`

The absolute value of a real number "a" is the non-negative value of "a" without regard to its sign. It cannot be a negative number.

Thus the equation has no solution.

Hence, the correct option is D) No solution.