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Determining whether the

converse of an implicatiois true or false

C4.4 (p.98)

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Learning outcomes (p.98)

4.4.5 Determine whether the converseof animplication is trueor false.

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Example ! (p.98)

Determine whether the converse of each implicat"elow is true or false.

(a)#f x $ %& then x $ 5

(")#f ' $ *!& then ' $ 4

+olution,(c)-he converse if x $ 5& then x $ %/ is false"eca

0 %.

(1)-he converse if ' $ 4& then ' $ *!/ is true

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Exercise 4.42 (p.99)

4. Determine the converse for each implication "e+tate if the converse is true in each case.

(a)#f w 0 35& then w 0 3*.

Converse implication, #f w 0 3*& then w 0 35.

(")#f ua1rilateral 67+ is a parallelogram& then ittwo pairs of parallel si1es.

Converse implication, #f ua1rilateral 67+ hpairs of parallel si1es& then it is a parallelogram

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7uestion 4 (p.99)

Determine the converse for each implication "elowif the converse is true in each case.

(e) #f 2CD $ 9!& then 2CD is an o"tuse angle.

Converse implication, #f 2CD is an o"tuse anthen 2CD $ 9!.-rue

(f) #f :li lives in ;ala'sia& then :li lives in +outh E:sia.

Converse implication, #f :li lives in +outh Easthen :li lives in ;ala'sia. alse

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