Write the solution of the inequality in set-builder notation:
5r+8<63
{r|r<11}***
{r|r>11}
{r|r<12}
{r|r>12}
yes.
To solve the inequality 5r + 8 < 63, we need to isolate the variable r.
Step-by-step solution:
1. Subtract 8 from both sides of the inequality to get 5r < 55.
2. Divide both sides of the inequality by 5 to get r < 11.
Therefore, the solution to the inequality in set-builder notation is {r | r < 11}.
To solve the inequality 5r + 8 < 63, we need to isolate the variable r. Here's how you can do it step by step:
1. Start by subtracting 8 from both sides of the inequality:
5r + 8 - 8 < 63 - 8
5r < 55
2. Next, divide both sides of the inequality by 5 to solve for r:
(5r)/5 < 55/5
r < 11
So, the solution to the inequality is r < 11.
In set-builder notation, we express this solution as {r | r < 11}. This means that the set of values for r consists of all numbers less than 11.