Question

Which number line represents the solution set for the inequality -1/2x ≥ 4?

a. A number line from negative 10 to 10 in increments of 2. A point is at negative 2 and a
bold line starts at negative 2 and is pointing to the left.
b. A number line from negative 10 to 10 in increments of 2. A point is at negative 8 and a
bold line starts at negative 8 and is pointing to the left.
c. A number line from negative 10 to 10 in increments of 2. A point is at negative 2 and a
bold line starts at negative 2 and is pointing to the right.
d. A number line from negative 10 to 10 in increments of 2. A point is at negative 8 and a
bold line starts at negative 8 and is pointing to the right.

Answer 1

b

Explanation:

-1/2x ≥ 4

=> -x ≥ 4/(1/2) = 4.2

=> -x ≥ 8

=> x ≤ -8

=> x ∈ (-∞; -8]