Answer:
The inequality to represent “7 less than the product of a number, n, and 1/6 is at most 45” is:
[tex]\frac{n}{6} -7\leq 45[/tex]
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:
[tex]( n x \frac{1}{6}) -7 \leq 45[/tex]
Thus, inequality is:
[tex]\frac{n}{6} -7\leq 45[/tex]
Solve the inequality:
Add 7 to both sides
[tex]\frac{n}{6} -7 + 7\leq 45 + 7\\simplify\\\frac{n}{6} \leq 52[/tex]
Multiply both sides by 6
[tex]\frac{6n}{6} \leq 52 multiply 6[/tex]
simplify
[tex]n\leq 312[/tex]
Thus the inequality is solved.
hope it help :)
