 If the signs of all the terms of an inequality be changed, the sign of inequality must be reversed. For, to change all the signs is equivalent to...  University Algebra - Page 145by Webster Wells - 1879 - 444 pagesFull view - About this book
 | James Wood - Algebra - 1841 - 492 pages
...algebraical quantity, it will be requisite to know whether the quantity is positive or negative. Also, if the signs of all the terms of an inequality be changed, the sign of inequality is reversed, for this is equivalent to multiplying each member by — 1. VIII. The members of an inequality... | |
 | Isaac Todhunter - Algebra - 1858 - 530 pages
...be removed from one member of an • inequality and affixed to the other with its sign changed. 669. If the signs of all the terms of an inequality be...reversed. For to change all the signs is equivalent to removing each term of the first member to the other, and each term of the second member to the first.... | |
 | Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...(x — а)— (у — 5) = Ъ — а, a negative quantity, (196) ; hence, x — а < у — Ъ. III. If the signs of all the terms of an inequality be changed, the sign of inequality will be reversed. For to change the signs of all the terms is equivalent to subtracting each member... | |
 | Isaac Todhunter - Algebra - 1866 - 580 pages
...may be removed from one member of an inequality and affixed to the other with its sign changed. 669. If the signs of all the terms of an inequality be...reversed. For to change all the signs is equivalent to removing each term of the first member to the second, and each term of the second member to the first.... | |
 | Isaac Todhunter - Algebra - 1866 - 618 pages
...to the other with its sign changed. 669. If the signs of all the terms of an inequality be dianged the sign of inequality must be reversed. For to change all the signs is equivalent to removing each term of the first member to the second, and each term of the second member to the first.... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...divisor is negative, for in this case the resulting inequality subsists in a contrary sense. 179. 6th. If the signs of all the terms of an inequality be...reversed. For to change all the signs is equivalent to multiplying each member of the inequality by —1. other member will then denote one limit of the unknown... | |
 | Isaac Todhunter - 1870 - 818 pages
...may be removed from one member of an inequality and affixed to the other with its sign changed. 674. If the signs of all the terms of an inequality be changed tlie sign of inequality must be reversed. For to change all the signs is equivalent to removing each... | |
 | Isaac Todhunter - Algebra - 1870 - 626 pages
...may be removed from one member of an inequality and affixed to the other with us sign changed. 674. If the signs of all the terms of an inequality be changed t fie sign of inequality must be reversed. Por to change all the signs is equivalent to removing each... | |
 | Horatio Nelson Robinson - Algebra - 1872 - 436 pages
...suppose x =y, and a > b ; then we shall have t negative quantity, (19G) ; hence, x— a<y— b. III. If the signs of all the terms of an inequality be changed, the »ign of inequality will be reversed. Foi1 to change the signs of all the terms is equivalent to subtracting... | |
 | Benjamin Greenleaf - 1873 - 420 pages
...term may be transposed from one member of an inequality to t/ie other, with its sign changed. 192i -f the signs of all the terms of an inequality be changed,...second, and each term of the second member to the first. 193. If tiro or inore inequalities subsisting in the same sense, be added, member, to member, the resulting... | |
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