Question

Find the interval(s) of numbers that are less than a distance of 6 away from -2. Enter solution as an interval or union ofintervals.help (intervals)In absolute value notation, where a represents the numbers, this is:A.|x +2 > 6B - 61 < -2C|2+2 <6D.|x - 61 > -2UE. None of the above

Answer 1

Let x be the number that satisfies the condition; therefore, |x-(-2)|=|x+2| is the distance from x to -2 (the distance is always positive). Then, |x+2| cannot be more than 6; thus, the inequality is

`|x+2|<6`

The answer is |x+2|<6, option C