Elpurdy99Elpurdy99 Elpurdy99Elpurdy99
  • 02-11-2019
  • Mathematics
contestada

Solve | − 3| < 2. Question 5 options: a) {x | –1 < x < 1} b) {x | –5 < x < –1} c) {x | –1 < x < 5} d) {x | 1 < x < 5}

Respuesta :

sonu36 sonu36
  • 07-11-2019

Answer:

d) 1 < x < 5

Step-by-step explanation:

[tex] |x-3| < 2 [/tex] (given)

it does imply two things,

[tex] ( x- 3) < 2  ({\textrm}{when} x ≥ 3) [/tex] -------(1)

[tex] (3-x)  < 2  ({\textrm}{when} x < 3) [/tex] --------(2)

from (1),

[tex] x < 5 [/tex] -----(3)

from (2)

[tex] x >1 [/tex]  -------(4)

so from (3) and (4)

[tex] 1 < x < 5 [/tex] (Answer)

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