Determine whether these statements are true or false. Enter T or F. (a) ØE{Ø} (b) { Ø}E{Ø} (c) ØC{Ø} (d) Ø E{0}
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- If int x = 10;, int y = 7;, double z = 4.5;, and double w = 2.5;, evaluate each of the following statements, if possible. If it is not possible, state the reason. (3, 4) (x + y) % x x % y + w (z - y) / w (y + z) % x (x % y) * z x % y % 2 (x + y) % z (x % y + z) / wShow the value of x after each of the following statements is performed:a) x = fabs(7.5);b) x = floor(7.5);c) x = fabs(0.0);d) x = ceil(0.0);e) x = fabs(-6.4);f) x = ceil(-6.4);g) x = ceil(-fabs(-8 + floor(-5.5)));Assume that A and B are known to be true, X, Y, and Z are known to be false, and that the truth values of P and Q are unknown. For each of the following statements, state whether it is true or false (you have sufficient information even with the unknowns). P ® A ~ (P Q) v P (P ® X) ® (~X ® ~P)
- Write true if the two statements are equivalent; otherwise write false. (p∨∼q) ∨q and p2- Number of basic operations of the following statement is equal to : for ( int i = 0 ; i< = 1 ; ++i) System.out.println( "X+1"+"Y"); A- 5 B- 6 C- 7 D- NoneIndicate if the following expression is True or False Assume the variables int a=3, b=4, c=4; !((a + b – c) >=3) True False
- Based on the above variable declarations, determine which statements areVALID and which are INVALID.Determine if the following statements are logically equivalent:p ∨ (q ∧ r),(p ∧ q) ∨ (p ∧ r)Variables: p,q,rWrite true if the two statements are equivalent; otherwise write false. 1. ∼(∼p∨q) and p∨∼q 2. p and ∼(∼p)
- 20.If A, B, and C are Boolean variables, which of the following statements are correct?a) A ∧ (B ∨ C) = (A ∧ B) ∨ (A ∧ C)b) A ∨ (B ∧ C) = (A ∨ B) ∧ (A ∨ C)c) (A ∧ B) ∨ C = C ∨ (B ∧ A)For each of the following statements, determine whether they are true or false. If false, write their logical negation (distributing the ¬ across any expressions as necessary) and explain how this negation is true. In each of these, x and y are assumed to be integers. (a) (∀x)(∀y)((y > x) ⇒ (x = 0)) (b) (∃x)(∀y)((y > x) ⇒ (x = 0)) (c) (∀x)(∃y)((y > x) ⇒ (x = 0)) (d) (∀x)(((∀y)(y > x)) ⇒ (x = 0))Read the two statements. WriteA if Statement I is true and Statement II is false B if Statement I is false and Statement II is true C if both Statements are trueD if both Statements are false