Respuesta :
Answer
[tex] \sf \large \: \green{↬}460 - 65x < 100[/tex]
[tex] \: \: \: [/tex]
Subtract 460 from both sides:
[tex]\sf \large \: \green{↬}460 - 65x - 460 < 100 - 460[/tex]
[tex] \: \: [/tex]
[tex]\sf \large \: \green{↬} - 6x + 460 - 460 < 100 - 460[/tex]
[tex] \: \: [/tex]
[tex]\sf \large \: \green{↬} - 65x < 100 - 460[/tex]
[tex] \: \: \: [/tex]
[tex]\sf \large \: \green{↬}65x < - 360[/tex]
[tex] \: \: \: [/tex]
Hope Helps! :)
The solution to the word problem is x < 5.54
What is a word problem?
In mathematical concepts, a word problem is a question that involves the use of arithmetic operations, algebraic equations, or inequality to solve those questions.
Given that:
460 - 65 x < 100
- By collecting like terms, we have:
= - 65x < 100 - 460
= - 65x < -360
= 65x < 360
= x < 360/65
= x < 5.54
Therefore, the solution to the word problem is x < 5.54
Learn more about word problems here:
https://brainly.com/question/21405634