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Find the solution for the pair of inequations x > 1 and x < -1
- a)no solution
- b)x < -1
- c)-1 < x < 1
- d)x > 1
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Find the solution for the pair of inequations x > 1 and x < -1...
x > 1 means x is greater than 1 in this equation the values of x can be 2,3,4,5.............∞
x < -1 means is less than -1 therefore values of x can be -2, -3, -4, -5............ -∞
So no common point for x
Hence there will be no solution
x < -1 means is less than -1 therefore values of x can be -2, -3, -4, -5............ -∞
So no common point for x
Hence there will be no solution
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Community Answer
Find the solution for the pair of inequations x > 1 and x < -1...
To solve the pair of inequalities x < 1="" and="" x="" /> -1, we need to find the values of x that satisfy both inequalities simultaneously.
1. Solving the first inequality x < />
- To do this, we need to consider all values of x that are less than 1.
- This means x can take any value from negative infinity up to but not including 1.
- In interval notation, this can be represented as (-∞, 1).
2. Solving the second inequality x > -1:
- To do this, we need to consider all values of x that are greater than -1.
- This means x can take any value from -1 excluded up to positive infinity.
- In interval notation, this can be represented as (-1, ∞).
3. Combining the two inequalities:
- To find the values of x that satisfy both inequalities, we need to find the intersection of the two intervals: (-∞, 1) and (-1, ∞).
- The intersection of these intervals is the empty set, as there are no values of x that satisfy both inequalities simultaneously.
Therefore, the correct answer is option 'A' (no solution). There are no values of x that satisfy both x < 1="" and="" x="" /> -1 simultaneously.
1. Solving the first inequality x < />
- To do this, we need to consider all values of x that are less than 1.
- This means x can take any value from negative infinity up to but not including 1.
- In interval notation, this can be represented as (-∞, 1).
2. Solving the second inequality x > -1:
- To do this, we need to consider all values of x that are greater than -1.
- This means x can take any value from -1 excluded up to positive infinity.
- In interval notation, this can be represented as (-1, ∞).
3. Combining the two inequalities:
- To find the values of x that satisfy both inequalities, we need to find the intersection of the two intervals: (-∞, 1) and (-1, ∞).
- The intersection of these intervals is the empty set, as there are no values of x that satisfy both inequalities simultaneously.
Therefore, the correct answer is option 'A' (no solution). There are no values of x that satisfy both x < 1="" and="" x="" /> -1 simultaneously.
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Find the solution for the pair of inequations x > 1 and x < -1a)no solutionb)x < -1c)-1 < x < 1d)x > 1Correct 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 Find the solution for the pair of inequations x > 1 and x < -1a)no solutionb)x < -1c)-1 < x < 1d)x > 1Correct 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 Find the solution for the pair of inequations x > 1 and x < -1a)no solutionb)x < -1c)-1 < x < 1d)x > 1Correct answer is option 'A'. Can you explain this answer?.
Find the solution for the pair of inequations x > 1 and x < -1a)no solutionb)x < -1c)-1 < x < 1d)x > 1Correct 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 Find the solution for the pair of inequations x > 1 and x < -1a)no solutionb)x < -1c)-1 < x < 1d)x > 1Correct 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 Find the solution for the pair of inequations x > 1 and x < -1a)no solutionb)x < -1c)-1 < x < 1d)x > 1Correct answer is option 'A'. Can you explain this answer?.
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