*Yes, B, C, and D are correct. -15, -10.5, and -7.5 are solutions to x<-7*...........................
......................................................................................................................................
*8y – 24 > –16.............................................................................................................
8y>8 ADD 24 to both sides .......................................................................................
y>1 so C. divide both sides by 8.................................................................................
It is not A because the opposite of subtracting 24 is adding 24. So you add 24 to both sides to undo the subtraction. -16+24=8 Then you divide both sides by 8, which gives you y>1. I think you probably subtracted 24 from -16 instead of adding it.*.........................................
......................................................................................................................................
*I'm not sure what to make of the third one, is that a number line or...?*...............................
......................................................................................................................................
*- t/5 ≥15 ........................................................................................................................
-t ≥ 75 MULTIPLY both sides by 5....................................................................................
t ≤ -75 divide both sides by -1, and flip the sign, because when dividing an inequality by a negative number you must flip the sign..............................................................................
So A would be correct. ....................................................................................................
I believe if you divided the 15 by 5 and didn't flip the sign you would get D.*.........................
Also, sorry, my enter key isn't working right, so it's all scrunched together.
You would start with 11.93 times .75, which would round to 8.95. Add that to 11.93 times 2, your answer would be 32.81
Solution :
It is given that :
lies in the first quadrant.
And 
lies in the fourth quadrant.
Since, 
and 
(given)
Similarly
(IVth quadrant)
Therefore,
It is customary to work left to right, however that is not a rule. In order of operations, the actual rule is that multiplication/division occurs after parentheses, exponents, and before addition/subtraction...
PEMDAS order of operations
Parentheses, exponents, mutiplication/division, addition/subtraction.
