State in words each of the following statements and determine, with explanations, their truth values.

(a) ∀x∈\mathbb{r}, |x|=x.
(b) ∃x∈\mathbb{q}, \sqrt[3]{x}+13=2/3.

(c) ∃x∈\mathbb{r}, ∀y∈\mathbb{r}, x−2y+3=5.

(d) ∀y∈\mathbb{r}, ∃x∈\mathbb{r}, xy =xy+1000

Estimate the product. round the first factor to the nearest whole number, round the second factor to the nearest ten, and then multiply. 3 8/9 × 96

Frank has $66.50 in his account on sunday. over the next week, he makes the following changes to his balance via deposits and purchases: day debit ($) credit ($) monday 60.33 80.75 tuesday 54.45 wednesday 49.20 15.00 thursday 35.40 friday 16.85 75.00 saturday 80.56 on what day does frank first get charged an overdraft fee? a. wednesday b. thursday c. friday d. saturday select the best answer from the choices provided a b c d

14. (05.02 lc) what is the value of y in the solution to the following system of equations? (5 points) 2x + y = −4 5x + 3y = −6