For what values of x does the binomial 2x−1 take on a positive value?

Part A

To identify the values of x that make 2x−1 positive

⇒ 2x - 1 > 0

⇒ 2x > 1

⇒ x >

Part B

To find values of y making 21−37 negative

⇒ 21-3y < 0

⇒ 21 < 3y

⇒ 7 < y

Thus, for all y values exceeding 7, the expression 21-3y is negative

Part C

To identify values of c that digit 5−3c greater than 80

⇒ 5-3c > 80

⇒ -3c > 75

⇒ -c > 25

⇒ c < -25

Therefore, for values of c less than -25, the expression 5-3c surpasses 80