Question

Write an inequality to represent 7 less than the product of a number, n, and 1/6 is at most 45."

Please help me, I need this right away!!!!

Answer 1

The inequality to represent “7 less than the product of a number, n, and 1/6 is at most 45” is:

`(n)/(6) -7\leq 45`

Solution:

Let the number be "n"

From given,

7 less than a product of a number n and 1/6 is at most 45

At most means "less than or equal to"

Therefore, inequality is framed as:

`( n x (1)/(6)) -7 \leq 45`

Thus, inequality is:

`(n)/(6) -7\leq 45`

Solve the inequality:

Add 7 to both sides

`(n)/(6) -7 + 7\leq 45 + 7\\simplify\\(n)/(6) \leq 52`

Multiply both sides by 6

`(6n)/(6) \leq 52 multiply 6`

simplify

`n\leq 312`

Thus the inequality is solved.

hope it help :)