Answer:
[-1,3]
Step-by-step explanation:
|2x|<x+3
calculate the absolute value
2*|x|<x+3
move < to left
2*|x|-x<3
split into possible cases
2x-x<3, x<0
2*(-x)-x<3, x<0
solve inequalities
[0,3]
[-1,0]
find union
[-1,3]
B is the answers our questions
Answer: D and E
Step-by-step explanation:
Answer:
x < <em>-11.4285......</em>
Step-by-step explanation:
<u>Step 1: Subtract 10 from both sides</u>
3.5x + 10 - 10 < -30 - 10
<em>3.5x < -40</em>
<u>Step 2: Divide both sides by 3.5</u>
3.5x / 3.5 < -40 / 3.5
<em>x < -11.4285......</em>
Answer: x < <em>-11.4285......</em>
Answer:

Step-by-step explanation:
The given expression is :

We need to rewrite it in the form of
.
We know that, 
So,

So,
. Hence, this is the required solution.