Find the range of values of x which satisfies the inequality 12×2 Find the range of values of x which satisfies the inequality 12×2 A. -(frac{1}{4}) B. (frac{1}{4}) C. -(frac{1}{3}) D. -(frac{1}{4}) Correct Answer: Option A Explanation 12×2 12 – x – 1 12×2 – 4x + 3x – 1 4x(3x – 1) + (3x – 1) Case 1 (+, -) 4x + 1 > 0, 3x – 1 x > -(frac{1}{4})x Case 2 (-, +) 4x + 1 0 -(frac{1}{4}) `, props: [‘comment’], data() { return {} }, methods: {} }) {{ reply.posted_by.display_name }}:   {{ reply.created_at }} `, props: [‘comment’, ‘reply’, ‘rate_selection’, ‘token’], data() { return {} }, methods: {} }) {{ comment.posted_by.display_name }}{{ comment.created_at }}

Find the range of values of x which satisfies the inequality 12x2

  • A.
    -(frac{1}{4})
  • B.
    (frac{1}{4})
  • C.
    -(frac{1}{3})
  • D.
    -(frac{1}{4})
Correct Answer: Option A
Explanation

12x2
12 – x – 1

12x2 – 4x + 3x – 1

4x(3x – 1) + (3x – 1)

Case 1 (+, -)
4x + 1 > 0, 3x – 1

x > -(frac{1}{4})x

Case 2 (-, +) 4x + 1 0
-(frac{1}{4})

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