Question

http://prntscr.com/9r75xf

Answer 1

@Rushwr

Answer 2

@ganeshie8

Answer 3

You can utilize the definition of absolute value in order to create two inequalities that are solvable separately.
So if you have:
\[\left| x+2 \right| \le 9\]
We can apply the definition of absolute value in order to obtain:
\[(x+2), x \ge -2\]
\[-(x+2), x <-2\]
So then we will have two worries here:
\[(x+2) \le 9 \iff x \ge -2\]
\[-(x+2) \le 9 \iff x < -2\]
So, the two resulting inequalities to solve the inequality are:
\[x+2 \le 9\]
\[-(x+2) \le 9\]

Answer 4

would my answer be the last option?

Answer 5

@Loser66

Answer 6

Come on, please, and give this work a try on your own.

The first equation, \\[x+ 2\le 9\]

Answer 7

can be solved by subtracting 2 from both sides. Try it, please.

Answer 8

Thank u @Owlcoffee