How do you solve #-2x+8>3x+10#?
# - 2 /5#
Inequations are solved in a similar way to solving equations.
( collect terms with x to one side usually the left and numbers to the other )
so : - 2x - 3x > 10 - 8 hence - 5x > 2
(To solve for x divide both sides by (- 5 ) . Here you must reverse the inequality sign as dividing by a negative quantity- do the same if multiplying by a negative.)
#rArr( -5x)/-5 < 2/-5 rArr x < - 2/5 #
Example : -1 < 2
multiply both sides by ( - 1 ) : gives 1 < - 2 which is clearly incorrect and hence the need to reverse the inequality sign .