Question

Translate and solve: 15 greater than y is at least 150. Give your answer in interval notation.

Answer 1

Step-by-step explanation:

the given statement in mathematical terms would be

y + 15 >= 150

from there we get

y >= 150 - 15

y >= 135

y = [135, +infinity)

consider the used brackets :

"[" or "]" mean that that interval end is included as valid solution.

"(" or ")" mean that that interval end is NOT included as valid solution. and "infinity" is never a value. it is only a "concept". so, it can never be included in a solution interval.

Answer 2

To solve the inequality 15 greater than y is at least 150, we write it as two separate equations: y < 15 and y >= 150. The solution is expressed in interval notation as [150, infinity).

Step-by-step explanation:

To solve the inequality 15 greater than y is at least 150, we need to write it as an equation.

15 > y ≥ 150

To solve for y, we will separate it into two equations:

15 > y

y ≥ 150

The solution to the first equation is y < 15.

The solution to the second equation is y ≥ 150.

Combining the two solutions, we can express the final answer in interval notation as [150, ∞) or [150, infinity).