Question

Identify the solution set of the given inequality using the given replacement set.   x > –4; {–8, –4.3, –4 –3.8, 1.2, 3}  

A. {–8, –4.3}  
B. {–8, –4.3, –4}  
C. {–3.8, 1.2, 3}  
D. {–4, –3.8, 1.2, 3}

Answer 1

x> -4 means that it is needed to find all the values that are greater than -4 "not including" -4 ... for negative values as you get from zero the values decrease which means that -8 is less than -7 and -7 is less than -6 etc.. and positive values are trivially known to be greater than negative ones then take each value and compare it with -4 -8 is less than -4 -4.3 is less than -4 -4 is equal to -4 which is not included in our required range which is x>-4 -3.8 is greater than -4 which will get in our solution 1.2 is greater than -4 3 is also greater than -4 So our final solution will be {-3.8,1.2,3} Which is B in our question Hope this helps :) Let me know too if you got it :)
Answer: C. {-3.8, 1.2, 3}