Answer:
The interval notation is: [-2, 2]
Explanation:
First, we have to solve both inequalities.
4x - 9 ≥ -17
4x ≥ -8
x ≥ -2
4x - 9 ≤ -1
4x ≤ 8
x ≤ 2
Now, we need to find the values of x that satisfy both inequalities simultaneously. To do this, we find the intersection of the solution sets.
From inequality 1, x can take any value greater than or equal to -2.
From inequality 2, x can take any value less than or equal to 2.
-2 ≤ x ≤ 2
The interval notation is: [-2, 2]