Question

Determine if the ordered pair (-1, -5) is a solution to the inequality y<-3/4x - 1

Answer 1

Yes

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Substitution

Explanation:

Step 1: Define

y < -3/4x - 1

Solution set (-1, -5)

Step 2: Check

1. Substitute: -5 < -3/4(-1) - 1
2. Multiply: -5 < 3/4 - 1
3. Subtract: -5 < -1/4

Here we see that -1/4 is indeed bigger than -5.

∴ The ordered pair is a solution.