Question

How do you solve the inequality `3r+7<r+29`?

Answer 1

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.

Explanation:

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!