Question

Write the solution of the inequality in set-builder notation.

5r + 8 < 63
A. {r l r<11}
B. {r l r>11}
C. {r l r<12}
D. {r l r>12}

Answer 1

5r + 8 < 63
5r < 55
r < 11

answer

A. {r l r<11}

Answer 2

`r`

Explanation:

`5r+8<63`

1. As the 8 is adding, you take it to the other side to substract:
`5r<63-8`

2. Now you have:
`5r<55`

3. Since the 5 is multiplying, you take it to the other side to divide:
`r<55/5`

4. Once you divide, the answer is
`r<11`