Solve the inequality y-7>-2, and write the solution in interval notation.

Question

asked Jan 10, 2024 163k views

2 Answers

Adnan Y · Answer 1 · 2024-01-17T00:34:36+0000

Hello!

Answer:

$\Large \boxed{\sf y > 5}$

$\Large \boxed{\sf ]5,+\infty)}$

Explanation:

→ We want to solve this inequation:

$\sf y-7 > -2$

◼ Add 7 to both sides:

$\sf y-7+7 > -2+7$

◼ Simplify both sides:

$\boxed{\sf y > 5}$

→ We want to write the solution in interval notation:

y is greater than 5, which is therefore not included.

→ So the interval is:

$\boxed{\sf ]5,+\infty)}$

Conclusion:

The solution of the inequation is y > 5.

The solution in interval notation of the inequation is ]5,+∞)