2 Answers

Matthews · Answer 1 · 2019-07-25T10:57:29+0000

Solve for x over the real numbers:
abs(x + 18) = 1

Split the equation into two possible cases:
x + 18 = 1 or x + 18 = -1

Subtract 18 from both sides:
x = -17 or x + 18 = -1

Subtract 18 from both sides:
Answer: x = -17 or x = -19

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Solve for x over the integers:
abs(x + 18) = 1

Split the equation into two possible cases:
x + 18 = 1 or x + 18 = -1

Subtract 18 from both sides:
x = -17 or x + 18 = -1

Subtract 18 from both sides:

Answer: x = -17 or x = -19

Ampati Hareesh · Answer 2 · 2019-07-28T19:34:15+0000

The absolute value, or modulus, of a number is its distance from zero, or essentially its magnitude.

The absolute value produces a positive answer.

We have this definition for the absolute value, taking into account its different values for different signs:

$|x|= \left \{ {{x, \ \ \ x \ \geq \ 0} \atop {-x, \ \ \ x \ \ \textless \ \ 0}} \right.$

Thus, for
|x+18|=1