Question

Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols.
|-4+6| ≤ 10
Please explain to me how you got the answer

Answer 1

Is there an X in the equation !!??

Answer 2

|-4x+6| ≤ 10

Answer 3

my bad, didnt realize i forgot to put in the X

Answer 4

This is an absolute function , so :

The equation will be like this :
-10 ≤ -4x+ 6 ≤ 10
-10 - 6 ≤ -4x ≤ 10 - 6
-16 ≤ -4x ≤ 4
-16/-4 ≤ x ≤ 4/-4
4 ≤ x ≤ -1

Answer 5

This is a full solution with all steps

Answer 6

i have another one and im just wondering if it would be the same steps. Its |3x-6| ≤ 9.

Answer 7

would I add the 6 and 9 or subtract?

Answer 8

The same steps in all absolute functions :)

-9 ≤ 3x - 6 ≤ 9
-9+6 ≤ 3x ≤ 9 + 6
-3 ≤ 3x ≤ 15
-3/3 ≤ x ≤ 15/3
-1 ≤ x ≤ 5

[ -1 , 5 ]