How do you find four consecutive even integers such that -4 times the sum of the first and fourth is 6 greater than the opposite of the sum of the second and third?

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Answer 1 · 2018-06-18T10:46:43

Is 'the opposite of the sum' subtraction?

Any number is #n#, to ensure it is even we use #2n#

The four consecutive numbers will be

#2n, 2n+2, 2n+4, 2n+6#

#-4(2n+2n+6)>(2n+4-2n-2)#

#-4(4n+6)>2#

#-16n-24>2#

add #16n#

#-24>16n+2##

subtract 2

#-26>16n#

divide by 16

#-26/16>n#

#-13/8>n#