Respuesta :

Solution:

First, let's simplify the inequality.

  • [tex]t + 23 < 40 - 2[/tex]
  • [tex]t + 23 < 38[/tex]
  • [tex]t < 38 - 23[/tex]
  • [tex]t < 15[/tex]

Option A

[tex]\tex\text{Substituting t as 10}[/tex]

[tex]\rightarrow t < 15[/tex]

[tex]\rightarrow10 < 15 \ (True)[/tex]

Option B

[tex]\tex\text{Substituting t as 13}[/tex]

[tex]\rightarrow t < 15[/tex]

[tex]\rightarrow 13 < 15 \ (True)[/tex]

Option C

[tex]\tex\text{Substituting t as 16}[/tex]

[tex]\rightarrow t < 15[/tex]

[tex]\rightarrow 16 < 15 \ (False)[/tex]

Option D

[tex]\tex\text{Substituting t as 14}[/tex]

[tex]\rightarrow t < 15[/tex]

[tex]\rightarrow 14 < 15 \ (True)[/tex]

The only value of t that makes the inequality "t < 15" false is 16 (C).

Answer:

16

Step-by-step explanation:

t + 23 < 40 - 2

t + 23 < 38

t < 38 - 23

t < 15

Therefore for t to be false,t must be greater than 15

t > 15,from the option it is only 16

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