SOLUTION: Solve each inequality. graph its solution, and write the solution in set notation. |x+7|+15>12 Here's what I did: 1)|x+7|+15>12 -15 -15 2)|x+7|>-3 3) x+7<

Question 864655: Solve each inequality. graph its solution, and write the solution in set notation.
|x+7|+15>12
Here's what I did:
1)|x+7|+15>12
-15 -15
2)|x+7|>-3
3) x+7<-3 or x+7>3
4) x+7<-3 or x+7>3
-7 -7 -7 -7
5)x<-10 or x>-4
answer: (-infinity,-10)U(-4,infinity)
Im not sure if this is right. I think it is either no solution, or (-infinity,infinity)
Thanks!!!

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
|x+7|+15 > 12

|x+7|+15-15 > 12-15

|x+7| > -3

Since |x+7| is never negative, it is always greater than -3 for any value of x

So |x+7| > -3 is true for all values of x making the answer in interval notation to be (-infinity, infinity)

RELATED QUESTIONS
Solve each compound inequality, write its solution set in interval notation, and graph... (answered by ikleyn)

Solve the solution set to each inequality in interval notation and sketch its graph. -3... (answered by Nate)

Solve each inequality. Write the solution set in interval notation and graph it. 1.... (answered by MathLover1)

Solve each inequality, write the solution set in interval notation, and graph on number... (answered by sofiyac,MathTherapy)

Please help me: Solve the following inequality. Graph the solution set and write it in (answered by Alan3354)

Solve the inequality. Write the answer using both set-builder notation and interval... (answered by josgarithmetic)

Solve the compound inequality and write the solution set using interval notation:... (answered by funmath)

2(x-5)=2x+10 and 5x -5=3x-7+2(x+1) for each equation write the answer as No Solution... (answered by ewatrrr)