What is the solution to the inequality #-10.5 -7x> -4.5#?

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Answer 1 · 2016-05-18T03:03:04

#x < -6/7#

Given,

#-10.5-7x > -4.5#

Start by adding #10.5# to both sides.

#-10.5color(white)(i)color(red)(+10.5)-7x > -4.5color(white)(i)color(red)(+10.5)#

#-7x > 6#

Divide both sides by #-7#.

#color(red)((color(black)(-7x))/-7) > color(red)(color(black)6/-7)#

#x > -6/7#

However, recall that you must always flip the inequality sign whenever you divide by a negative number. Thus,

#color(green)(|bar(ul(color(white)(a/a)color(black)(x < -6/7)color(white)(a/a)|)))#