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To solve the inequality -1+2r > 5, we can start by isolating the variable r.
First, we can add 1 to both sides of the inequality:
-1 + 2r + 1 > 5 + 1
2r > 6
Then, we can divide both sides of the inequality by 2 (since the coefficient of r is 2 and we want to isolate r):
2r/2 > 6/2
r > 3
So the solution to the inequality is r > 3.
To graph the solution on a number line, we can draw a ray starting from the number 3 and extending to the right. The number 3 is an open endpoint since the inequality is "greater than" and not "greater than or equal to".