Question

What are the solutions of the inequality?
|2x| *less than or equal to* 14

A) x *less than or equal to* -7 or x *greater than or equal to* 7

B) x *greater than or equal to* 7

C) x *less than or equal to* -7

D) x *less than or equal to* 7 and x *greater than or equal to* -7

Answer 1

What do you think?

Answer 2

\( |2x| = 2|x| \) so \(2|x| \le 14 \rightarrow |x| \le7\).we have 2 cases:

\(\large \color{red}{(1)} : x \ge 0\) .in this case \( |x| = x \) therefore \( x \le 7 \)

\(\large \color{red}{(2)} : x < 0 \). in this case \( |x| = -x \) so \(-x \le 7 \rightarrow x \ge -7\).

Answer 3

if u have understood it well,then tell me what is the answer ;)

Answer 4

So B ?

Answer 5

consider we have 2 cases! and both of them can be true.

Answer 6

So D ?

Answer 7

correct ;)

Answer 8

100% SURE ???

Answer 9

yes,ur now sure?!

Answer 10

I'm just making sure you're sure, THANK YOU !!!

Answer 11

ur welcome

Answer 12

if u have question , just tag me ;) i would like to help you.

Answer 13

Thanks :)