Question

SOLVE: l x l >5

Answer 1

Do you mean 1x+1>5 ?

Answer 2

im not sure, thats what the equation was. :(

Answer 3

oh!! okay just a sec :)

Answer 4

thank you!

Answer 5

Your answer would just be x > 5

Answer 6

thank you so much!!! wanna answer some more? please it would mean a lot

Answer 7

|x| > 5
then x > 5 and x < -5

Answer 8

this comes from the definition of the absolute value:
\[ |x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x<0 \end{cases}\]
Thus, \(|x|>5\) means:

\(x > 5, \text{if } x \ge 0\)
\(-x > 5, \text{if }x<0\)

so since you have a negative sign in the 2nd case, you flip the inequality when you divide both sides by a negative:
\(x > 5 \)
\(x < -5\)