true conditional statements

If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implication. It is denoted by p q. p is called the antecedent (or hypothesis). q is called the consequent (or conclusion). Note: p q can be read as (i) If p th..

Conditional and Biconditional Statements - It is already mentioned in earlier classes that compound statements of different propositions can be obtained by conjunction, disjunction and negation of propositions. We just recall these three basic logical connectivities an..

If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implicatio..

Logical Equivalence - Two propositions (simple or compound) are said to be logically equivalent if they have identical truth values. If p is logically equivalent to q, we denote p q. We have already constructed the truth table of (~p) q in earlier class. Recall the same truth table. Truth Table for..

Which of the statements is true? => An equilateral triangle has three angles equal. or An equilateral triangle has only two angles equal. or An equilateral triangle has none of angles equal. or One angle in an equilateral triangle is equal to 90°...

Which of the statements is true? => 569,843 is less than 569,483 or 569,483 is greater than 569,348 or 569,348 is greater than 569,843 or 569,483 is less than 569,384..

Which of the statements is not true? => 10 × 6 = 6 × 10 or (8 - 6) × 5 = (8 × 5) - (6 × 5) or (12 × 10) - 12 = 12 - 12 × 12 - 10 or 7 × 8 + 7 × 9 = 7 × (8 + 9)..

Which statement is true? => The solution set for the inequality 4 x 2 + 31 x + 21 > 0 is: { x : x < 6 or x > - 3 4 } or If ( x - 1)( x - 2) < 0, then ( x - 1) > 0 and ( x - 2) > 0 or x 2 3 < ( 2 3 ) x + 5 and - 2 x 2 + 4 x > - 30 give the same solution se..

Equations of condition - Study the following equations: a) 4x + 2 = 14 b) x - 7 = 5 - 2x c) 3a - 8 = a + 12 The equation 4x + 2 = 14 is true only when x = 3, Similarly, x - 7 = 5 - 2x is true only when x = 4, and 3a - 8 = a + 23 is true only when a = 10. The ..