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}

Question

23-03-2017
Mathematics

Answered

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}

Verified Answer :

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Confes Confes · Answer 1 · 2017-03-23T14:25:04-04:00

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}

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}

Verified Answer :

Related Questions

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}