inequalities.when dividing do the signs change?
955186
Signs change when you multiply by a negative number -- but do not change when you multiply by a positive number.\n\nDivision is just multiplication by the inverse -- so the same rules apply.\n\nYou do not change the sign when you divide by five.  But you would change it is you divided by (-5).
619781
2x-3>5\nor 2x-3+3>5+3 [adding 3 to both sides]\nor 2x>8\nor x>4 [dividing both sudes by 2]\n\n[I assume that '<_' sign means less than or equal to]\n5x+2<_32\nor 5x+2-2<_32-2 [adding -2 to both sides]\nor 5x<_30\nor x<_6 [dividing both sides by 5]\n\nFinally, combining both results 4<x<_6\n\nIf 'x' takes only integral values then x = 5,6
342027
hahahah that doesn't make sense in order for two sides of an equation to be equal the numerical value of each side must be the same.  Whats with all the equals signs!
30411
You first graph the inequality as if it were an equation. If it's great or less than you draw a dotted line, and if it's greater than or equal to or less than  or equal too you draw a solid line.  Then you check and see if the point (0,0) works for the inequality.  If it does, you shade the side of the line with (0,0) in it. If not, you shade the otherside.  You do the same thing with the other inequality, and then the area of numbers shaded by both inequalities is the region of the system.
849020
For arithmetic progressions, the difference between consequtive terms is a constant.  \n\nfor \n1) each will differ by 3\n2) each differs by 4,\n\nthe general form is a0 + (k-1)*d where d is the difference.\n\nBtw, for geometric progressions, it's the ratio between terms that's constant, not the difference.
997478
system of inequalities: \n12x+20y<=800 i.e. 3x+5y<=200\nx+y<=50\nx>=10\ny>=15\n\nafter graphing it, you will find that\nx>=10\ny>=15\ny<=25
1117062
if ur just solving that equation...u dont need to switch the sign.....\nwatch (im not gonna have the equal sign on the bottom takes too long). \n\nx-1<-3\n(add one to both sides now)\nx<-2\n\nthers ur answer
882621
My old math teacher showed me this.\n\nSince A=B, then A-B=0, and you can't divide by 0
628648
None. The two numbers have no common factors, bar -1. You mean exactly (with no remainder) not evenly.
877606
29x - 515 < -14(8 - 3x) given\n29x - 515 < -112 + 42x distribute\n-515 < -112 + 13x subtract 29x from each side\n-403 < 13x add 112 to each side\n-31 < x divide by 13\nx > -31 just turn it around because it looks better\n\n(the answer above this one would be correct, but you need to reverse the direction of an inequality when dividing by a negative number.)
922643
It depends on the graph. If the values of each notch differ by x, then the interval is x.\n\nJust look at two numbers on adjacent notches, and subtract.
700071
Yes. If you multiply it out it is the same. The square kills off that minus sign because any real number squared is positive.\n\n\nz
366161
well...after transfering the "+7" in the right of the equal sign and which becomes "-7"(the sign is changed from "+" to "-") we have on the left "2x" and on the right "24-7" which is "17". After this we divide "24" at "2" which comes from the "2x" in order to find "x" and the result is that "x=8,5" or "x equals 8,5".
1017458
symetric properety...\n\n\nok heres why.....\n\n(pretend the equal signs are parallel line segments)\n\n===========================\n\n\ndo you see how you can split them dont the middle, thats called the symetric property
294552
Use the algebraic manipulations you have learned to isolate x on one side of the inequality, ie. to get an inequality of the form x <  or x > . \nMost algebraic manipulations hold with inequalities. Divising both sides of an inequality by a positive real number preserves the inequality, but dividing both sides by a negative number flips the inequality sign.\nIn this case, you do not have to worry, as you only have to divide both sides by 7, a positive real number.
750535
if f(x) change of sign twice\n\nso number of positive roots 0 or 2 based on Descartes rule\n\nfrom the given case 2 positive so 1 negative
15071
-4k-5 <= 3\n-4k <= 8\nk >= 8/(-4) (the sign reverses the inequality)\nk >= -2