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Which of the following inequalities has a solution set that when graphed on the number line, is a single
segment of finite length?
  • a)
    x4 ≥ 1
  • b)
    x3 ≤ 27
  • c)
    x2 ≥ 16
  • d)
    2≤ |x| ≤ 5
  • e)
    2 ≤ 3x+4 ≤ 6
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Which of the following inequalities has a solution set that when graph...
A. x4>=1=>(x4-1)>=0=>(x2-1)(x2+1)>=0=>(x+ 1)(x-1) (x2+1)>=0
(x2+1)>0, so (x+1)(x-1)>=0 =>x<-1,x>1
B. x2<=27=>(x3-33)<=0=>(x-3)(X2+3x+32)<=0, with d=b2-4ac we can know that (X2+3x+32) has no solution, but we know that (X2+3x+32)=[(x+3/2)2+27/4]>0, then, (x-3)<=0, x<=3
C. x2>=16, [x2-42]>=0, (x-4)(x+4)>=0, x>4,x<-4
D. 2<=IxI<=5, 2<=IxI, x>=2, or x<=2
So, answer is E
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Most Upvoted Answer
Which of the following inequalities has a solution set that when graph...
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Which of the following inequalities has a solution set that when graphed on the number line, is a singlesegment of finite length?a)x4 ≥ 1b)x3 ≤ 27c)x2 ≥ 16d)2≤ |x| ≤ 5e)2 ≤ 3x+4 ≤ 6Correct answer is option 'E'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Which of the following inequalities has a solution set that when graphed on the number line, is a singlesegment of finite length?a)x4 ≥ 1b)x3 ≤ 27c)x2 ≥ 16d)2≤ |x| ≤ 5e)2 ≤ 3x+4 ≤ 6Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following inequalities has a solution set that when graphed on the number line, is a singlesegment of finite length?a)x4 ≥ 1b)x3 ≤ 27c)x2 ≥ 16d)2≤ |x| ≤ 5e)2 ≤ 3x+4 ≤ 6Correct answer is option 'E'. Can you explain this answer?.
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