Solve this absolute value equation?

Question

l 10x+8 l >2


Please explain!!! Also, please tell me what the solutions would look like on a line graph

Answer 1

This can be solved if you find the range of x. For this you have to consider two situations,
1. 10x+8 > 0
in this case, x > -3/5

2 10x+8 < 0
and solve as -(10x+8) > 2
in this case x < -1

rest you can plot

Answer 2

l 10x+8 l >2
=> 10x + 8 > 2 or 10x + 8 < - 2
=> x > - 3/5 or x < -1

Answer 3

x is less than -6/10 because 10x<-6 or x is greater than -1 because |-10+8| is equal to 2 on a line graph you would shade in the area from x=-1 to x=-6/10.

Answer 4

First you must know the property: |x|>a ==> x>a or x< -a

Applying this property to your equation you obtain:

|10x+8|> 2 ==> 10x+8 > 2 or 10x+8 < -2 and now solve each equation to obtain: x > -3/5 and x<-1

In a line it looks like: ***************-1..........-3/5*************

and the solution is the parts signaled by *******

Answer 5

10x + 8 > 2 and -10x - 8 < 2
10x > -6 and -10x < 4
x > -3/5 and x > -2/5

Therefore, the answer is x > -2/5.

Answer 6

attempt to isolate honestly the cost area and resolve via using the two situations. -8|7x - 4| = -19 |7x - 4| = 19/8 case a million is the place the respond is helpful, so: 7x - 4 = 19/8 7x = 19/8 + 4 x = fifty one/fifty six case 2 is the place the respond is destructive, so: 7x - 4 = -19/8 7x = -19/8 + 4 x = 13/fifty six subsequently, x = fifty one/fifty six or x = 13/fifty six