Question 1119374
they have to live within plus or minus 2 miles from the firehouse.


the absolute value equation will be abs(0 + x) < 2, where x represents the distance from the firehouse and mile marker 0 represents the location of the firehouse.


abs(0 + x) < 2 is equal to (0 + x) < 2 when 0 + x is positive and -(0 + x) < 2 when 0 + x is negative.


0 + x is the expression within the absolute value sign.


when 0 + x is positive, the inequality is (0 + x) < 2.


solve for x to get x < 2.


when 0 + x is negative, the inequality is - (0 + x) < 2.


solve for x to get -x < 2 which results in x > -2.


your answer is -2 < x < 2, which means the house must be within plus or minus 2 miles from the location of the firehouse, which is at location 0.


the house has to be between mile marker -2 and mile marker 2 on belmont road.