The inequality is incorrect because testing the point (5, 100) simplifies to the inequality 100 ≥ 150.
What is an inequality?
An inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an equation based on any of the following arguments (symbols):
- Greater than (>).
- Greater than or equal to (≥).
- Less than (<).
- Less than or equal to (≤).
Next, we would evaluate and simplify the given inequality in order to determine its solution as follows:
y ≥ –2(x – 10)² + 200.
At point (5, 100), we have:
100 ≥ –2(5 – 10)² + 200.
100 ≥ –2(-5)² + 200.
100 ≥ –2(25) + 200.
100 ≥ –50 + 200.
100 ≥ 150 (incorrect and false).
In conclusion, the given inequality is incorrect because 100 cannot be greater than or equal to 150.
Read more on inequality here: brainly.com/question/28748540
#SPJ1
Compete Question;
A student writes the inequality representing the graph as y ≥ –2(x – 10)² + 200.
The inequality is ______ because testing the point (5, 100) simplifies to the inequality _____.
