Math Problem Statement

Solve the inequality 5a + 9 ≤ 2a + 15.

Solution

PIL import Image import pytesseract

Load the uploaded image to extract text

image_path = "/mnt/data/17338592240239ry9ndsy.jpg" extracted_text = pytesseract.image_to_string(Image.open(image_path))

extracted_textThe inequality extracted from the image is:

5a+92a+155a + 9 \leq 2a + 15

Solution:

  1. Subtract 2a2a from both sides: 5a2a+9155a - 2a + 9 \leq 15 3a+9153a + 9 \leq 15

  2. Subtract 9 from both sides: 3a63a \leq 6

  3. Divide through by 3: a2a \leq 2

Final Answer:

a2a \leq 2

Would you like a detailed breakdown or have questions?


Related Questions:

  1. How can this inequality solution be represented graphically?
  2. What are the steps to solve inequalities with multiple variables?
  3. Can the same steps be applied if the inequality symbol changes?
  4. How do we handle inequalities when dividing by a negative number?
  5. What is the difference between strict (<<) and non-strict (\leq) inequalities?

Tip:

Always reverse the inequality sign when multiplying or dividing both sides of an inequality by a negative number.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Inequalities

Formulas

Basic inequality solving steps

Theorems

Properties of inequalities

Suitable Grade Level

Grades 7-9