Question

Which of the following is the best solution to | x + 11 | < 17?

Answer 1

Answer:

Where are the choices?

Step-by-step explanation:

It says which of the following so I don't think anyone can determine this without looking at the choices. For all we know, someone could give you an answer that isn't in the multiple choice answers.

Answer 2

Hey there!

| x + 11| < 17

Solving for your ABSOLUTE VALUE

x + 11 < 17 ; x + 11 > -17

Solving solution #1

x + 11 < 17

SUBTRACT by 11 on your sides

x + 11 - 11 < 17 - 11

Cancel out: 11 - 11 because it gives you 0

Keep: 17 - 11 because it helps us compare with x

17 - 11 = 6

Answer #1: x < 6

Solving solution #2

x + 11 > -17

SUBTRACT by 11 on your sides

x + 11 - 11 > -17 - 11

Cancel out: 11 - 11 because it gives you the value of 0

Keep: -17 - 11 because it helps us compare with x

-17 - 11 = -28

Answer #2: x > -28

Overall answer: x < 6 and x > -28

Its an OPEN circle shaded to the left

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)