Let p ,   q and r are three statements in which p is true. Consider two compound statements S 1 :   p ⇒ q ⇒ r ≡ p ⇒ q ⇒ r S 2 :   p ⟺ q ⟺ r ≡ p ⟺ q ⟺ r State in

Question

Let p , &#160; q and r are three statements in which p is true. Consider two compound statements S 1 : &#160; p &#8658; q &#8658; r &#8801; p &#8658; q &#8658; r S 2 : &#160; p &#10234; q &#10234; r &#8801; p &#10234; q &#10234; r State in order, whether S 1 , S 2 are true (T) or false (F)

Quantrex Academy · Accepted Answer

Correct answer: C. FT

p q r p ⇒ q ⇒ r p ⇒ q ⇒ r p ⟺ q ⟺ r p ⟺ q ⟺ r T T T T T T T T F T T T F F T T F F F F F T F F T T T T

Let p ,   q and r are three statements in which p is true. Consider two compound statements S 1 :   p ⇒ q ⇒ r ≡ p ⇒ q ⇒ r S 2 :   p ⟺ q ⟺ r ≡ p ⟺ q ⟺ r State in order, whether S 1 , S 2 are true (T) or false (F)

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Correct answer

Step-by-step solution

More from Mathematical Reasoning

Let p , &#160; q and r are three statements in which p is true. Consider two compound statements S 1 : &#160; p &#8658; q &#8658; r &#8801; p &#8658; q &#8658; r S 2 : &#160; p &#10234; q &#10234; r &#8801; p &#10234; q &#10234; r State in order, whether S 1 , S 2 are true (T) or false (F)

Options

Correct answer

Step-by-step solution

More from Mathematical Reasoning

Let p , q and r are three statements in which p is true. Consider two compound statements S 1 : p ⇒ q ⇒ r ≡ p ⇒ q ⇒ r S 2 : p ⟺ q ⟺ r ≡ p ⟺ q ⟺ r State in order, whether S 1 , S 2 are true (T) or false (F)