To solve the inequality, we will first isolate the variable r on one side of the inequality.
-1/2 < r - 1/2
Adding 1/2 to both sides, we get:
-1/2 + 1/2 < r - 1/2 + 1/2
0 < r
So the solution to the inequality is r > 0.
Now let's graph this inequality on the number line:
0
We shade the region to the right of 0 to represent r > 0.
Finally, let's check a value in that region to see if it satisfies the inequality. Let's choose r = 1.
-1/2 < 1 - 1/2
-1/2 < 1/2 (which is true)
Since the inequality holds for r = 1, we can conclude that the solution to the inequality is r > 0.
Solve the inequality. Graph and check your solutions.
-1/2<r-1/2
1 answer