Option C:
The solution of inequality 2x + y < 10 is (5, –3).
Solution:
Given inequality is 2x + y < 10.
Lets substitute the given points in the inequality and find the solution.
Option A: (6, –1)
2(6) + (–1) < 10
12 – 1 < 10
11 < 10
This is false because 11 > 10.
Therefore (6, –1) is not the solution of the inequality.
Option B: (1, 10)
2(1) + (10) < 10
2 + 10 < 10
12 < 10
This is false because 12 > 10.
Therefore (1, 10) is not the solution of the inequality.
Option C: (5, –3)
2(5) + (–3) < 10
10 – 3 < 10
7 < 10
This is true.
Therefore (5, –3) is the solution of the inequality.
Option D: (5, 5)
2(5) + (5) < 10
10 + 5 < 10
15 < 10
This is false because 15 > 10.
Therefore (5, 5) is not the solution of the inequality.
Hence Option C is the correct answer.
The solution of inequality 2x + y < 10 is (5, –3).
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
*Note:
The distance formula is derived from the Pythagorean Theorem.
<u>Step 1: Define</u>
<em>Identify</em>
Point (5, 10)
Point (10, 12)
<u>Step 2: Find distance </u><em><u>d</u></em>
- Substitute in points [Distance Formula]:

- [√Radical] (Parenthesis) Subtract:

- [√Radical] Evaluate exponents:

- [√Radical] Add:

Answer:
90 degrees
Step-by-step explanation:
angle ABC is a right angle