Question

|x|<6

Answer 1

@Michele_Laino

Answer 2

again we have to consider two cases, so we have to solve the subsequent two systems:
\[\begin{gathered}
\left\{ \begin{gathered}
x \geqslant 0 \hfill \\
x < 6 \hfill \\
\end{gathered} \right. \hfill \\
\hfill \\
\left\{ \begin{gathered}
x < 0 \hfill \\
- x < 6 \hfill \\
\end{gathered} \right. \hfill \\
\end{gathered} \]

Answer 3

{x|x> -6 and x< 6} ?

Answer 4

correct! the solution is:
\[\left\{ {x \in \mathbb{R}| - 6 < x < 6} \right\}\]

Answer 5

so |x| < 5 is

{x|x < -5 or x > 5}

Answer 6

more precisely is:
\[\left\{ {x \in \mathbb{R}| - 5 < x < 5} \right\}\]

Answer 7

ok i still a little confused...

Answer 8

the solution intervals, geometrically speaking, is given by all points between x=-5 and x=5, the ends x=-5 and x=5 are not included

Answer 9

interval*

Answer 10

ok i think i got it thankyou

Answer 11

:)