119. Give one example for each (many answers possible):
(a) A positive and a negative integer whose sum is a negative integer.
(b) A positive and a negative integer whose sum is a positive integer.
(c) A positive and a negative integer whose difference is a negative integer.
(d) A positive and a negative integer whose difference is a positive integer.
(e) Two integers smaller than −5 but their difference is −5.
(f) Two integers greater than −10 but their sum is smaller than −10.
(g) Two integers greater than −4 but their difference is smaller than −4.
(h) Two integers smaller than −6 but their difference is greater than −6.
(i) Two negative integers whose difference is 7.
(j) Two integers such that one is smaller than −11 and the other is greater than −11 but their difference is −11.
(k) Two integers whose product is smaller than both the integers.
(l) Two integers whose product is greater than both the integers.
(a) 4 + (−6) = −2
(b) 8 + (−2) = 6
(c) −7 − 2 = −9
(d) 4 − (−3) = 7
(e) −12 − (−7) = −5
(f) −4 + (−7) = −11 < −10
(g) −1 − 4 = −5 < −4
(h) −8 − (−9) = 1 > −6
(i) −2 − (−10) = 8
(j) −20 − (−9) = −11
(k) −3 × 5 = −15
(l) 4 × 6 = 24
Each example satisfies the stated condition; many other choices are possible.