Question

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

Answer 1

Answer:

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

Step-by-step 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

Answer 2

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x > - 10

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

$\small \sf \frac{x}{ - 2} > 5$

Solve for x

$\small \sf \frac{x}{ - 2} > 5$

common denominator is 2

$\small \sf ➪ \frac{2x}{ - 2} >2 \times 5$

$\small \sf ➪ \frac{ \cancel{2}x}{ - \cancel{ 2}} >2 \times 5$

➪ - x > 2 × 5

➪ - x > 10

multiply by - 1

➪ - x × - 1 > 10 × - 1

x > - 10