Question

Solve the inequality 81-1 1/5x<55

Answer 1

To solve the inequality 81-1 1/5x<55, subtract 81 from both sides, multiply by 5 to get rid of the fraction, and divide by -6 to get the solution x < 130/6 or approximately x < 21.67.

Step-by-step explanation:

To solve the inequality 81-1 1/5x<55, we need to isolate the variable x. Let's begin by subtracting 81 from both sides of the inequality:

81 - 1 1/5x - 81 < 55 - 81

-1 1/5x < -26

To get rid of the fraction, we can multiply both sides of the inequality by 5:

-1 1/5x imes 5 > -26 imes 5

-6x > -130

Finally, we divide both sides of the inequality by -6. Remember that when we divide by a negative number, the direction of the inequality sign flips:

x < 130/6

The solution to the inequality is x is less than 130/6 or approximately x < 21.67.

Answer 2

{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.