Question

What is the solution to 4
***25-79
ΧΣ- 12
ΧΣ 12
Ο χK12
Ο χ4 - 12

Answer 1

`\displaystyle x \leq 12`

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

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Explanation:

Step 1: Define

`\displaystyle -(3)/(4)x + 2 \leq -7`

Step 2: Solve for x

1. [Subtraction Property of Equality] Isolate x term:
   `\displaystyle -(3)/(4)x \leq -9`
2. [Division Property of Equality] Isolate x:
   `\displaystyle x \leq 12`

Here we see that any value x smaller than or equal to 12 would work as a solution to the inequality.