Nine times the sum of a number and is at most .

4 answers

Nine times the sum of a number and 27 is at most −16.**
27, would have to go together with a negative number
Nine times the sum of a number and 27 is at most - 16 means:

9 ( c + 27 ) ≤ - 16

9 ∙ c + 9 ∙ 27 ≤ - 16

9 c + 243 ≤ - 16

Subtract 243 of both sides

9 c + 243 - 243 ≤ -16 - 243

9 c ≤ - 259

Divide both sides by 9

c ≤ - 259 / 9

c ≤ - 28.777...
I marked the number with c but you can also mark it with x.

9 ( x + 27 ) ≤ - 16

9 x + 9 ∙ 27 ≤ - 16

9 x + 243 ≤ - 16

Subtract 243 of both sides

9 x + 243 - 243 ≤ -16 - 243

9 x ≤ - 259

Divide both sides by 9

x ≤ - 259 / 9

x ≤ - 28.777...