Question

Solve for x.

x3≤−6



Responses

a x≤−18

a x is less than or equal to negative 18

b x≥−2
b x is greater than or equal to negative 2

c x≥−18
c x is greater than or equal to negative 18

d x≤−2

Answer 1

Interpret "x3 ≤ −6" as 3x ≤ −6. Divide both sides by 3 (positive), inequality stays the same:

x ≤ −6/3 = −2.

So answer d: x ≤ −2.

(If the problem meant x^3 ≤ −6, then x ≤ −∛6 ≈ −1.817.)