Given that x is an integer, what is the solution of |x-1|

Question

2 years ago

9

a1" title=" \leqslant 1" alt=" \leqslant 1" align="absmiddle" class="latex-formula">

1 answer:

Varvara68 [4.7K] · Answer 1 · 2022-09-03T15:08:27+03:00

Answer:

see explanation

Step-by-step explanation:

Inequalities of the type | x | ≤ a always have solutions of the form

- a ≤ x ≤ a

Given

| x - 1 | ≤ 1 then

- 1 ≤ x - 1 ≤ 1 ( add 1 to each of the 3 intervals )

0 ≤ x ≤ 2

Since we require an integer solution then x = 0, 1, 2