Answer:
[tex]6h+26\ge \:80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:h\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}[/tex]
Please check the graph of a number line is also attached below.
Step-by-step explanation:
Given the inequality
[tex]6h+26\:\ge \:\:80[/tex]
solving inequality
[tex]6h+26\ge \:80[/tex]
subtract 26 from both sides
[tex]6h+26-26\ge \:80-26[/tex]
Simplify
[tex]6h\ge \:54[/tex]
Divide both sides by 6
[tex]\frac{6h}{6}\ge \frac{54}{6}[/tex]
Simplify
[tex]h\ge \:9[/tex]
Therefore,
[tex]6h+26\ge \:80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:h\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}[/tex]
Please check the graph of a number line is also attached below.
