How many solutions does the equation have? 7=vert zvert +4 no solution one solution two solutions

## Step 1The given equation is . The absolute value of a number, denoted as , is always non-negative. This means that the absolute value of any number, whether it's positive, negative, or zero, is always a non-negative number.## Step 2The equation can be rearranged to , which simplifies to .## Step 3The absolute value equation has two solutions. This is because the absolute value of a number is the distance of that number from zero on the number line. Therefore, if , then can be either 3 units to the right of zero (which is 3) or 3 units to the left of zero (which is -3).