What is the greatest whole number value that makes the inequality #4x + 4 <= 12# true?

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Answer 1 · 2018-03-03T15:24:08

#x=2#

We have: #4x+4<=12#

Subtracting #4# from both sides, we get

#4x<=12-4#

#4x<=8#

Now, we can divide by #4# on both sides, so we get

#x<=8/4#

#x<=2#

That means, #x# can be any number that is less or equal to #2#, such as #-1,0,1,2# to name a few.

We want to find the greatest value, and that values occurs at #x=2#.

So, the answer will be #x=2#.