1. The sum of a number and 10 is less than 22 2.The product of a number and 7 is greater than or equal to 1/2
3.One-third of a number is no more than 17.5
4.8.2 is greater than or equal to the sum of a number and 11
5.9 less than a number is at least 15

1) x < 12

2) x > 0.5/7

3) x < 5.83

4) x <= 7.2

5) x <= -6

Step-by-step explanation:

1)

x + 10 < 22

x < 22 - 10

x < 12

2)

x * 7 >= 0.5

x > 0.5/7

3)

x/3 <= 17.5

x <= 17.5/3

x < 5.83

4)

8.2 >= x + 1

x <= 8.2 - 1

x <= 7.2

5)

9 - x >= 15

9 >= 15 + x

x <= 9 -15

x <= -6

"if it is my birthday, then it is snowing"

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol