Question

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

A. 140
B. –76
C. –8.75
D. –4.75

Answer 1

• 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