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Which of the following is not a linear inequality?
- a)ax2 + bx + c < 0
- b)ax + by + c ≥ 0
- c)ax + b < 0
- d)ax + by + c ≤ 0
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which of the following is not a linear inequality?a)ax2+ bx + c < 0...
A is a quadratic equation not a linear equality because square of a function can't be negative
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Which of the following is not a linear inequality?a)ax2+ bx + c < 0...
Understanding Linear Inequalities
Linear inequalities are mathematical expressions that involve linear functions and demonstrate a relationship that can be represented graphically. The key characteristics of linear inequalities include:
- They involve variables raised to the power of one (linear terms).
- They can be represented as regions in a coordinate system.
Identifying the Options
Let's analyze the given options to identify which one is not a linear inequality:
Conclusion
From the analysis, option a (ax² + bx + c < 0)="" is="" indeed="" not="" a="" linear="" inequality="" because="" it="" involves="" a="" quadratic="" term="" (x²).="" the="" other="" options="" (b,="" c,="" and="" d)="" are="" all="" linear="" inequalities="" involving="" first-degree="" terms.="" thus,="" the="" correct="" answer="" is="" option="" 'a'.="" 0)="" is="" indeed="" not="" a="" linear="" inequality="" because="" it="" involves="" a="" quadratic="" term="" (x²).="" the="" other="" options="" (b,="" c,="" and="" d)="" are="" all="" linear="" inequalities="" involving="" first-degree="" terms.="" thus,="" the="" correct="" answer="" is="" option="" />
Linear inequalities are mathematical expressions that involve linear functions and demonstrate a relationship that can be represented graphically. The key characteristics of linear inequalities include:
- They involve variables raised to the power of one (linear terms).
- They can be represented as regions in a coordinate system.
Identifying the Options
Let's analyze the given options to identify which one is not a linear inequality:
- a) ax² + bx + c < />: This is a quadratic inequality because of the presence of the x² term. Quadratics are not linear as they involve variables raised to the second power.
- b) ax + by + c ≥ 0: This is a linear inequality because it involves a linear combination of x and y. It represents a half-plane above or below a line in a 2D graph.
- c) ax + b < />: This is also a linear inequality as it is a linear equation with one variable x and can be represented graphically as a line.
- d) ax + by + c ≤ 0: Like option b, this is a linear inequality as it involves linear terms of x and y, representing a region in the coordinate plane.
Conclusion
From the analysis, option a (ax² + bx + c < 0)="" is="" indeed="" not="" a="" linear="" inequality="" because="" it="" involves="" a="" quadratic="" term="" (x²).="" the="" other="" options="" (b,="" c,="" and="" d)="" are="" all="" linear="" inequalities="" involving="" first-degree="" terms.="" thus,="" the="" correct="" answer="" is="" option="" 'a'.="" 0)="" is="" indeed="" not="" a="" linear="" inequality="" because="" it="" involves="" a="" quadratic="" term="" (x²).="" the="" other="" options="" (b,="" c,="" and="" d)="" are="" all="" linear="" inequalities="" involving="" first-degree="" terms.="" thus,="" the="" correct="" answer="" is="" option="" />
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Which of the following is not a linear inequality?a)ax2+ bx + c < 0b)ax + by + c ≥ 0c)ax + b < 0d)ax + by + c ≤ 0Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Which of the following is not a linear inequality?a)ax2+ bx + c < 0b)ax + by + c ≥ 0c)ax + b < 0d)ax + by + c ≤ 0Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is not a linear inequality?a)ax2+ bx + c < 0b)ax + by + c ≥ 0c)ax + b < 0d)ax + by + c ≤ 0Correct answer is option 'A'. Can you explain this answer?.
Which of the following is not a linear inequality?a)ax2+ bx + c < 0b)ax + by + c ≥ 0c)ax + b < 0d)ax + by + c ≤ 0Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Which of the following is not a linear inequality?a)ax2+ bx + c < 0b)ax + by + c ≥ 0c)ax + b < 0d)ax + by + c ≤ 0Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is not a linear inequality?a)ax2+ bx + c < 0b)ax + by + c ≥ 0c)ax + b < 0d)ax + by + c ≤ 0Correct answer is option 'A'. Can you explain this answer?.
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