Question

What is the solution to the following inequality X/-2 > 5

Answer 1

`\large {\mathsf {\red{\underbrace {\overbrace{\blue{ {\pink}{Answєr}}}}}}} \:`

x > - 10

`\large \mathtt \green{Step-by-step \: explanation : }`

`\small \sf (x)/( - 2) > 5 \\`

Solve for x

`\small \sf (x)/( - 2) > 5 \\`

common denominator is 2

`\small \sf ➪ (2x)/( - 2) >2 * 5 \\`

`\small \sf ➪ \frac{ \cancel{2}x}{ - \cancel{ 2}} >2 * 5 \\`

➪ - x > 2 × 5

➪ - x > 10

multiply by - 1

➪ - x × - 1 > 10 × - 1

x > - 10

Answer 2

x < -10

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

Identify

x/-2 > 5

Step 2: Solve for x

1. [Multiplication Property of Equality] Multiply -2 on both sides: x < -10