How do you write the inequality and solve given "the sum of a number and -2 is no more than 6"?

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Answer 1 · 2017-02-26T21:42:26

#x-2<=6#

#x<=8#

A sum is the result of addition.

The sum of a number and #-2# means the addition of a variable (to represent the number), which I'll call #x#, and #-2#:

#x+(-2)=x-2#.

No more than #6# means the sum is equal to or less than #6#.

#x-2<=6#

Solution

Add #2# to both sides.

#x<=6+2#

#x<=8#