If the expression below has a positive value, which inequality represents all possible values of x in the expression?

Question

-2x+1

A. x < 1/2

B. x > 1/2

C. x < -1/2

D. x > -1/2

Answer 1

If the expression -2x + 1 is positive then the following inequality must be true:

-2x + 1 > 0

Solve for x:

-2x > -1 (subtract 1 from both sides--subtraction property for inequality)

x < -1/-2 (divide both sides by - 2--note this step requires reversing the direction of the inequality symbol)

x < 1/2