Answer:
C) A number line with an open circle on −8, shading to the left, and a closed circle on 9, shading to the right
Step-by-step explanation:
Given compound inequality,
x − 3 < −11 or x + 5 greater than or equal to 14.
⇒ x − 3 < −11 or x + 5 ≥ 14.
⇒ x < - 11 + 3 or x ≥ 14 - 5
⇒ x < -8 or x ≥ 9
Thus, the possible values of x are all real numbers less than -8 excluding -8 and all real numbers greater than 9 including 9,
That is, x ∈ (-∞, -8 ) ∪ [ 9, ∞ )
In the number line the numbers are arranged in ascending order from left to right also in the interval the excluded number is represented by open circle and included number is represented by closed circle.
Hence, correct option is,
A number line with an open circle on −8, shading to the left, and a closed circle on 9, shading to the right
