Question

if a half a number is added to 3, the result is greater than or equal to -4. find all such members. write your answer in interval notation. show work please :(

Answer 1

`\boxed{\sf \ \ \ [-14;+\infty[ \ \ \ }`

Explanation:

Hello,

let's note this number n

half a number is added to 3 so it means

`(n)/(2)+3`

the result is greater than or equal to -4 so we can write

`(n)/(2)+3\geq -4 \ \ multiply \ by \ 2\\ <=> n+6\geq -8 \ \ \ subtract \ \ 6\\<=> n \geq -8-6=-14`

and then we can say that the number is in the following interval

`[-14;+\infty[`

hope this helps