Answer:
x ≤ - 5 or x ≥ 7
or, in interval notation
[ - ∞, -5] ∪ [7, ∞]
Explanation:
From the question we get the following two inequalities
x is at most -5 ==> x ≤ -5
x is at least 7 ==> x ≥ 7 which can be rewritten as 7 ≤ x
This can be written as
x ≤ - 5 or x ≥ 7
In interval notation this would be
[ - ∞, -5] ∪ [7, ∞]
On the number line this would be represented as shown in the figure