The B number line represent the solution of the inequality 125x + 200 _> 1,200 at x ≥ 8.
Given that,
Inequality; 125x + 200 _> 1,200,
We have to determine,
Which number line represents the solution to the inequality.
According to the question.
Inequality; 125x + 200 _> 1,200,
To solve the inequality the following steps are given below.
- Rearrange the equation by subtracting what is to the right of the greater equal sign from both sides of the inequality :
[tex]= 125x+ 200 - 1200\geq 0\\\\= 125 -1000\geq 0[/tex]
- And Pull out like factors :
[tex]= 125x - 1000 \geq 0 \\\\ = 125 (x - 8) \geq 0[/tex]
- Divide both sides by 125,
[tex]= (x-8)\geq 0\\\\[/tex]
Therefore,
Inequality 125x + 200 is greater than or equal to the 1,200.
So, the arrows would be pointing from 8 down to the left. It would not be D because since its that sign on the equation the little dot on the eight would have to be closed or shaded it.
● If the dot is open (○) its for this sign >.
Hence, The second number line represent the solution of the inequality,
x ≥ 8.
To know more about Inequality click the link given below.
https://brainly.com/question/20734436
