Question

How would I show that on a number line?​

Answer 1

`6h+26\ge \:80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:h\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}`

Please check the graph of a number line is also attached below.

Explanation:

Given the inequality

`6h+26\:\ge \:\:80`

solving inequality

`6h+26\ge \:80`

subtract 26 from both sides

`6h+26-26\ge \:80-26`

Simplify

`6h\ge \:54`

Divide both sides by 6

`(6h)/(6)\ge (54)/(6)`

Simplify

`h\ge \:9`

Therefore,

`6h+26\ge \:80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:h\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}`

Please check the graph of a number line is also attached below.