Question

the sum of 12 times a number, n, and 4 is no more than 190. What are all the possible values of the number?

Answer 1

{n:n≤15.5}

Explanation:

√First derive the inequality from interpreting the statement,thus 12n+4≤190

√Second, solve the derived inequality ( ie.make n the subject)

√Finally, you'll arrive at the answer as n≤15.5

Therefore the possible values of the variable n is all numbers less than or equal to 15.5

PROOF

For n greater than 15.5

Let's take n to be 20

Therefore from the derived inequality

12n+4≤190

12(20)+4 = 240

Here,240 is greater than 190

Since for n≥15.5 will not satisfy the inequality n≠all numbers more than 15.5