What is the solution to the inequality #-10.5 -7x> -4.5#?
1 Answer
May 18, 2016
Explanation:
Given,
#-10.5-7x > -4.5#
Start by adding
#-10.5color(white)(i)color(red)(+10.5)-7x > -4.5color(white)(i)color(red)(+10.5)#
#-7x > 6#
Divide both sides by
#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)|)))#