Question

If the expression has a positive value, which inequality represents all possible values of x in the expression? -2x+1 A. X < 1/2 B. X > 1/2 C. X < -1/2 D. X > -1/2

Answer 1

x < 1/2

Explanation:

For the inequality expression -2x + 1 to have a positive values, then it must be greater than zero as shown;

-2x+1 > 0

Subtract 1 from both sides

-2x+1-1 > 0 - 1

-2x > - 1

Divide both sides by -2

-2x/-2 < -1/-2

x < 1/2

Hence the required inequality solution is x < 1/2