Mathematics: Half of a number n is at most 5 units from 14(write the absolute value inequality)

Half of a number n is at most 5 units from 14(write

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tapiamelissa6

11.03.2022

Mathematics

18≤n≤38 is absolute value inequality for the problem.

Step-by-step explanation:

Given situation:- Half of a number n is at most 5 units from 14

that means the difference between 14 and half times n is less than 5

$\Rightarrow |14-\frac{1}{2} \times n|\leq 5\\\Rightarrow|2( 14-\frac{1}{2} \times n)|\leq2(5)\\\Rightarrow|2(14)-2(\frac{1}{2} \times n)|\leq2(5)\ \text{(Multiplying 5 on the both sides)}\\\Rightarrow|\ 28-n|\leq10\\\Rightarrow\ 28-n\leq10\ or\ -(28-n)\leq10\\\Rightarrow\ n=28-10=18\ or\ n=28+10=38\\(i.e.)\ 18\leq\ n\leq \ 38$

⇒18≤n≤38 is absolute value inequality for the problem.

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Ответ:

ineedhelpireallydo

22.05.2021

Mathematics

1. Not saying

2. Yellow

3. Tardigrade

4. One cat and one dog. Oh, and one betta fish

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Half of a number n is at most 5 units from 14(write the absolute value inequality)

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