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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