SOLUTION: Find the solution for the inequality:
|x/2+4|>5
Algebra.Com
Question 1086970: Find the solution for the inequality:
|x/2+4|>5
Found 2 solutions by 4419875, ikleyn:
Answer by 4419875(21) (Show Source): You can put this solution on YOUR website!
Find the solution for the inequality:
|x/2+4|>5
Note: |f(x)|>a => f(x) < -a or f(x) > a
two solutions
x/2 + 4 > -5 = x + 8 > -10
Add both sides with 8 to isolate x
= x + 8 - 8 < -10 - 8
= x < -18
x/2 + 4 < 5 = x + 8 < 10
Add both sides with 8 to isolate x
= x + 8 - 8 10 - 8
= x > 2
The solution are x < -18 or x > 2
interval notation -> (-∞, 18) U (2, ∞)
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
.
The solution in the interval notation is (,-18) U (2,).
RELATED QUESTIONS
for the inequality (x-4)/(x+2) find its solution... (answered by tommyt3rd)
For this inequality, x+2 < 5, x= 6, would the solution be
6+2<5
(answered by MathLover1)
solution set and graph for the inequality... (answered by stanbon)
solve the inequality; identify if the inequality has no solution, or if the inequality is (answered by checkley77)
is x= -5/2 a solution of the inequality 5x-4<_3... (answered by stanbon)
Find the solution of the inequality... (answered by waynest)
Solve the following inequality: 2x - 2 <= 7 - x Is 4 a possible solution to this... (answered by ikleyn)
What is the solution set of the inequality x/4 < {(5x-2)/3}-{(7x-3)/5}... (answered by sachi)
Solve the following compound inequality. Write the solution in interval notation.
-5... (answered by Edwin McCravy)