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, –4}

B.
{–3.8, 1.2, 3}

C.
{–8, –4.3}

D.
{–4, –3.8, 1.2, 3}

Answer 1

@Omar_Elboredy

Answer 2

Could U show me your steps ? :)

Answer 3

x > –4; {–8, –4.3, –4 –3.8, 1.2, 3}

Answer 4

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 be 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 5

Holy moly dude. I wish I could give more than one meadl to you!

Answer 6

Thanks ^_^
Hope U got the idea pretty well :D