Question

What is the solution set for |x – 6| + 3 < 10?

Answer 1

Answer Choices
x > 1 or x < –13

x < –1 and x > 13

x > –1 and x < 13

x < 13 or x > –13

Answer 2

First bring the three to the other side.
\[|x – 6| + 3 < 10 \implies |x - 6| < 7\]Now split it into two equations and solve for x. Then tell me what you get.
\[x - 6 < 3\]\[x - 6 > -3\]

Answer 3

Oopsie.
\[x - 6 < 7\]\[x - 6 > -7\]

Answer 4

X < 13
X > -1

Answer 5

Alright. Will there be an and or or in between?

Answer 6

and

Answer 7

Yes. Good job :D