Question

Write the solutions of each inequality in set-builder notation

1.4y + 7 + >=to 23 2. 5r+8<63
3. 13-9m<58

Answer 1

1. 4y + 7 >= 23
4y >= 23 - 7
4y >= 16
y >= 4
set builder notation : { y | y >= 4}

2. 5r + 8 < 63
5r < 63 - 8
5r < 55
r < 11
set builder notation : { r | r < 11 }

3. 13 - 9m < 58
-9m < 58 - 13
-9m < 45
m > -5
set builder notation : { m | m > -5}