Felicia has 34 quarters,25 dimes and 36 pennies,how many coins does Felicia have?

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

Response:

x ≥ 4

Step-by-step breakdown:

Given

- 4(8 - 3x) ≥ 6x - 8 ← distribute the term in parentheses on the left side

- 32 + 12x ≥ 6x - 8 (subtract 6x from both sides)

- 32 + 6x ≥ - 8 (add 32 to both sides)

6x ≥ 24 (divide both sides by 6)

Thus, x ≥ 4