Question

Select the number that makes the inequality false. t+23<40-2
10
13
16
14

Answer 1

16

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

Answer 2

First, let's simplify the inequality.

• 
  `t + 23 < 40 - 2`
• 
  `t + 23 < 38`
• 
  `t < 38 - 23`
• 
  `t < 15`

Option A

`\tex\text{Substituting t as 10}`

`\rightarrow t < 15`

`\rightarrow10 < 15 \ (True)`

Option B

`\tex\text{Substituting t as 13}`

`\rightarrow t < 15`

`\rightarrow 13 < 15 \ (True)`

Option C

`\tex\text{Substituting t as 16}`

`\rightarrow t < 15`

`\rightarrow 16 < 15 \ (False)`

Option D

`\tex\text{Substituting t as 14}`

`\rightarrow t < 15`

`\rightarrow 14 < 15 \ (True)`

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