How many solutions does the equation have? vert vvert +5=13 no solution one solution two solutions

The equation given is . The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the absolute value of a number is always non-negative. In this equation, we are asked to find the value of such that when 5 is added to the absolute value of , the result is 13. This is possible only if the absolute value of is 8, because 5 + 8 = 13. Since the absolute value of a number can be either positive or negative, there are two solutions to this equation: and . Therefore, the equation has two solutions.