Question

Solve |x + 3| < 7

Answer 1

Since this is absolute value you have to solve for two equations:
\[x + 3 < 7 \implies x<7-3\implies x<7\]
\[x - 3 < 7 \implies x < 7 + 3 \implies x < 10\]

I think...

Answer 2

Oh wait one sec

Answer 3

It gives me these answers to choose from:

A. -10 < x < 4

B. x < -10 or x > 4

C. x = 4 or x = -4

D. x = -10 or x = 4

Answer 4

The positive side is correct, the negative side is not:
\[|x + 3| < 7 \implies -(x+3)<7 \implies -x - 3 < 7 \implies -x < 10 \implies x > 10\]

Answer 5

It is A

Answer 6

Okay thank you!! (:

Answer 7

Let me correct my work:
\[x + 3 < 7 \implies x<7-3\implies x<4\]
\[|x + 3| < 7 \implies -(x+3)<7 \implies -x - 3 < 7 \implies -x < 10 \implies x > -10\]