Answer :
Answer:
x ≥ 13 or x ≤ 5
Step-by-step explanation:
First, apply absolute value rule:
x - 9 ≥ 4 or x - 9 ≤ -4
Then, add 9 on both sides with both inequalities:
x ≥ 13 or x ≤ 5
This is a disjunction, so you can't combine the inequalities.
Hope this helps ^^
Answer:
[tex]x\geq 13\text{ or }x\leq 5[/tex]
Step-by-step explanation:
So we have the inequality:
[tex]|x-9|\geq 4[/tex]
Definition of Absolute Value. Since this is "greater than," we need to use "or."
[tex]x-9\geq 4\text{ or }x-9\leq -4[/tex]
Also, note that we flip the inequality on the second equation because we multiplied by a negative.
Add 9 to both equations:
[tex]x\geq 13\text{ or }x\leq 5[/tex]
And that's our solution.
And we're done!