Solving Inequalities: 7x + 3 > 9x - 5

You have 7x + 3 > 9x - 5

A good first step is to gather "like" terms together:

. . .7x + 3 > 9x - 5
. . .7x - 7x + 3 > 9x - 7x - 5
. . .3 > 2x - 5

. . .3 + 5 > 2x - 5 + 5
. . .8 > 2x
. . .8/2 > (2x)/2
. . .4 > x

Or, more commonly, x < 4. So any number less than four will solve the inequality, such as -12, 3/5, 2, and 3.999.
 
Top