Respuesta :

kusidesmo

Answer:

{x:x<11/130}

Step-by-step explanation:

given 81-1 1/5x<55. you first change the < to equal sign(=)

given you 81-11/5x=55. multiplying throughout the equation with 5x.

thus ,81×5x -11/5x × 5x =55×5x

results to 405x-11=275x

grouping like terms.

405x-275x=11 results to

130x =11

dividing through by 130

you will get x =11\130. The inequality is written as {x:x<11/130}. the <sign won't change since we divided with a positive number.

varshamittal029

The solution of the given inequality 81 - 11/5x < 55 can be written as x < 11/130.

What is inequality?

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

How to solve this problem?

The given inequality is

81 - 11/5x < 55 ...(1)

Multiplying both sides of (1) by 5x,

81 × 5x - (11/5x) × 5x < 55 × 5x

i.e. 405x - 11 < 275x

i.e. 405x - 275x < 11

i.e. 130x < 11

i.e. x < 11/130

Therefore the solution of the given inequality 81 - 11/5x < 55 can be written as x < 11/130.

Learn more about inequality here -

https://brainly.com/question/12189350

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