Question

Please help, im not sure how to do it ​

Answer 1

Inequality: k+ (-5)
`\leq` 30

Solution: k
`\leq` 35

Explanation:

Since we cant solve for the exact value of "k" we use inequalities.

Key words like "no more than" tells us that the sum of "k" and -5 MUST BE LESS THAN 30

so using that we can write an inequality that says k and -5 together can be any number but LESS THAN 30

so k+ (-5)
`\leq` 30 tells us that k must added with -5 is LESS THAN 30

Also I'm not screaming just emphasizing :)

Now for the solution you want regular numbers on one side and variables on the other.

so we can keep "k" on the left side of the equation but we have to add the -5 to the left side so

-5+5=0 and 30+5 = 35

so our solution is:

Solution: k
`\leq` 35

Answer 2

Product means to multiply.

No more than 30 is basically it can be 30 OR less nothing more.
k(-5) ≤ 30
Thats your inequality.

Solution is easy.
-5k ≤ 30
Divide -5
k ≥ 6
k ≥ 6 since when you divide or multiply by a negative number the inequality is flipped.

k≥ 6 is your solution .