How do you solve and graph 8r+6<9r?

2 Answers
Aug 11, 2017

See a solution process below:

Explanation:

Subtract color(red)(8r) from each side of the inequality to solve for r while keeping the inequality balanced:

-color(red)(8r) + 8r + 6 < -color(red)(8r) + 9r

0 + 6 < (-color(red)(8) + 9)r

6 < 1r

6 < r

Or, to state the solution in terms of r we can reverse or "flip" the entire inequality:

r > 6

Aug 11, 2017

=>r>6

graph{x>6 [-16.02, 16.01, -8.01, 8.01]}

Explanation:

8r+6<9r

Subtract 8r from both sides

=>8rcolor(red)(-8r)+6<9rcolor(red)(-8r)

=>6< r

=>r>6

The shaded part in the graph is r>6.
graph{x>6 [-16.02, 16.01, -8.01, 8.01]}