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Which number is a solution of the inequality 8 – 14b ≥ 27?

A. 140
B. –76
C. –8.75
D. –4.75

User Ahasbini
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1 Answer

1 vote

Answer:

  • 8 - 14b ≥ 27 ⇒ subtract 8 from both sides
  • - 14b ≥ 27 -8
  • - 14b ≥ 19 ⇒ divide both sides by 14
  • - b ≥ 19/14 ⇒ multiply both sides by -1
  • b ≤ - 19/14 ⇒ multiplication by a negative changes the

inequality sign to opposite one

b ≤ - 19/14 and the answer choices B, C and D are all correct as are less than -19/14

A. 140 is the only one incorrect

User Riccardo Cossu
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7.7k points

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