Question

Solve the linear inequality and express your answer in interval notation.
-3|x-13|+33 is less than or equal to 3

Answer 1

haha thanks

Answer 2

I suck at those :(

Answer 3

samee

Answer 4

hold on a second

Answer 5

\[-3|x-13| \le -30\]
\[|x-13|\geq 30\] right?

Answer 6

lemme check

Answer 7

no

Answer 8

@sat73 is on the case again and correct.

Answer 9

You can see this the solution as derived is wrong. Take for example x=10 that lies in the purported answer set.

Calculate -3|x-13|+33 = -3|3| + 33 = -9 + 33 = 24 which is not less than 3.

Answer 10

So from |x−13|≥10, x ≥ 23 or x =< 3.
In interval notation

(−∞,3]∪[23,∞)

Answer 11

Thank you James. But, Simon thanks so much the answer was correct! I greatly appreciate it.

Answer 12

Give 'im a medal!

Answer 13

Sure will!