solving logical equivalence


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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 t..
Logical Equivalence and Duality
Two compound propositions p and q are said to be logically equivalent, if their truth values are same for each different combinations of the truth values of the components involved in them. If p and q are logically equivalent, then it is represented by p..
Application of Logic in solving simple problems
An argument is a statement which assets that a given set of n compound statements p 1 ,p 2 ,..........p n yield another compound statement ..
Jim was given 12 problems to solve as homework, of which he solved 4 ..
Jim was given 12 problems to solve as homework, of which he solved 4 in the evening and the rest at night. Find the decimal equivalent to the fraction of problems he solved at night to the total number of problems he had for homework. => 0.66 or 0.46 or 0.86 ..
Application to Switching Circuits (Contd...)
Other Application Switching Circuits includes Logic Gates, AND Gate, OR Gate, NOT Gate, Combinatorial Circuit, Equivalent Circui..
Simultaneous inequations
Two inequalities, containing the same unknowns, are called equivalent, if they are valid at the same values of the unknowns. The same definition is used for the equivalence of two systems of simultaneous inequalities. Solving of inequalities is a process of trans..
Illustration 2:
The logical equivalences each other w.r.t. connectives ' ' and '..
Debate Script
You are participating in an interschool debate competition. The topic is 'Wars Always Create More Problems Than They Solve'. Here are some points for and against the proposition. Use them and your own ideas to write out the debate script. For Against No one wants it, but if th..
Which one of the following is true?
Which one of the following is true? => Some quadratic equations can not be solved by the quadratic formula. or Some equations in the form a x 2 + c = 0 can be solved by factoring or The equation (6 x - 7) 2 = 49 is equivalent to 6 x - 7 = 7. or If ( x - 2)(7 x + 8) = 0..
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