How would I show that on a number line?

Question

asked Sep 19, 2022 103k views

1 Answer

Remek · Answer 1 · 2022-09-24T12:21:46+0000

Answer:

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

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.