What is the smallest integer that makes #-3x+7-5x<15# true?

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Answer 1 · 2017-06-03T16:32:00

#x = 0# is the smallest integer.

Start by solving for #x#.

#-8x < 8#

#x > -1#

Therefore, the smallest integer that makes this true is #x = 0#.

Hopefully this helps!

Answer 2 · 2017-06-03T16:39:21

The smallest integer greater than #-1# is #0#

Treat the inequality like an equation, make the variables positive if possible:

#-3x+7 -5x < 15#

#7-15 < 8x#

#-8 < 8x#

#-1 < x#

This can also be written as:

#x > -1#

The smallest integer greater than #-1# is #0#