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Identify solution set for [| 4 −− x | + 1 < 3?
- a)(2 , 6)
- b)(3 , 6)
- c)(2 , 4)
- d)(2 , 3)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Identify solution set for[| 4−−x |+1<3?a)(2 , 6)b)(3 , ...
|4 − x| + 1 < 3
⇒ 4 − x + 1 < 3
Add −4 and −1 on both sides, we get
4 − x + 1 − 4 − 1 < 3 − 4 − 1
⇒ − x < −2
Multiply both sides by −1, we get
x > 2
Also,|4 − x| + 1 < 3
⇒ −(4 − x) + 1 < 3
⇒ − 4 + x + 1 < 3
Add 4 and −1 on both sides, we get
− 4 + x + 1 + 4 − 1 < 3 + 4 − 1
⇒ x < 6
Thus, x ∈ (2, 6).
⇒ 4 − x + 1 < 3
Add −4 and −1 on both sides, we get
4 − x + 1 − 4 − 1 < 3 − 4 − 1
⇒ − x < −2
Multiply both sides by −1, we get
x > 2
Also,|4 − x| + 1 < 3
⇒ −(4 − x) + 1 < 3
⇒ − 4 + x + 1 < 3
Add 4 and −1 on both sides, we get
− 4 + x + 1 + 4 − 1 < 3 + 4 − 1
⇒ x < 6
Thus, x ∈ (2, 6).
Most Upvoted Answer
Identify solution set for[| 4−−x |+1<3?a)(2 , 6)b)(3 , ...
|4 − x| + 1 < 3
⇒ 4 − x + 1 < 3
Add −4 and −1 on both sides, we get
4 − x + 1 − 4 − 1 < 3 − 4 − 1
⇒ − x < −2
Multiply both sides by −1, we get
x > 2
Also,|4−x| + 1 < 3
⇒ −(4−x) + 1 < 3
⇒ − 4 + x + 1 < 3
Add 4 and −1 on both sides, we get
− 4 + x + 1 + 4 − 1 < 3 + 4 − 1
⇒ x < 6
Thus, x ∈ (2,6).
⇒ 4 − x + 1 < 3
Add −4 and −1 on both sides, we get
4 − x + 1 − 4 − 1 < 3 − 4 − 1
⇒ − x < −2
Multiply both sides by −1, we get
x > 2
Also,|4−x| + 1 < 3
⇒ −(4−x) + 1 < 3
⇒ − 4 + x + 1 < 3
Add 4 and −1 on both sides, we get
− 4 + x + 1 + 4 − 1 < 3 + 4 − 1
⇒ x < 6
Thus, x ∈ (2,6).
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Identify solution set for[| 4−−x |+1<3?a)(2 , 6)b)(3 , 6)c)(2 , 4)d)(2 , 3)Correct 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 Identify solution set for[| 4−−x |+1<3?a)(2 , 6)b)(3 , 6)c)(2 , 4)d)(2 , 3)Correct 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 Identify solution set for[| 4−−x |+1<3?a)(2 , 6)b)(3 , 6)c)(2 , 4)d)(2 , 3)Correct answer is option 'A'. Can you explain this answer?.
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