Algebra II - Inequalities

Question

-4x+1 > -19 or (5/9)18x+27 ≥ 45

(a) x ≥ 3

(b) x ≤ 3 or x > 5

(c) x ≤ 5

(d) All real numbers

Answer 1

-4x + 1 > -19

-4x > -20

x < 5

(5/9)(18x + 27) ≥ 45

18x + 27 ≥ 81

18x ≥ 54

x ≥ 3

The thing about "or" is that it means we only need the solution to ONE inequality and not both. The only choice that satisfies that is a. Noneof the other choices work.