Question 1186160
i believe the equation is going to be:


abs(x - .005) <= .0006


the absolute value property of an equation is such that:


if the expression inside the absolute value sign is positive, then the inequality becomes:


(x - .005) <= .0006


if the expression inside the absolute value sign is negative, then the inequality becomes:


-(x - .005) <= .0006


we'll solve for when the expression inside the absolute value sign is positive.


(x - .005) <= .0006


remove the parentheses to get:


x - .005 <= .0006


add .005 to both sides of the inequality to get:


x <= .0006 + .005


solve for x to get:


x <= .0056


now we'll solve for when the expression within the absolute value sign is negative.


-(x - .005) <= .0006


multiply both sides of this inequality by -1 to get:


(x - .005) >= -.0006


multiplying both sides of an inequality by a negative number reverses the inequality.


that's why the inequality is now >= rather than <=.


remove the parentheses to get:


x - .005 >= -.0006


add .005 to both sides of the inequality to get:


x >= -.0006 + .005


solve for x to get:


x >= .0044


your solution is that the absolute value inequality is:


|x - .005| <= .0006


this leads to the value of x being greater than .0044 and less than .0056, which can be expressed as:


.0044 <= x <= .0056