How do you solve the inequality #3r+7<r+29#?
Solve just as you would solve an equation (isolate the variable). Beware that when multiplying/dividing by a negative number, you must switch the inequality sign's direction.
3r + 7 < r + 29
3r - r < 29 - 7
2r < 22
r < 11
So, your solution is r < 11. If you try a test point, say x = 2, it will have the same result in both the original equation and the new equation.
Hopefully you understand now!