Home » Solve the inequality y2 – 3y > 18

Solve the inequality y2 – 3y > 18

Solve the inequality y2 – 3y > 18
  • A.
    -3
  • B.
    y 6
  • C.
    y > -3 or y > 6
  • D.
    y
Correct Answer: Option A
Explanation

y2 – 3y > 18 = 3y – 18 > 0
y2 – 6y + 3y – 18 > 0 = y(y – 6) + 3 (y – 6) > 0
= (y + 3) (y – 6) > 0
Case 1 (+, +) (to) (y + 3) > 0, (y – 6) > 0
= y > -3 y > 6
Case 2 (-, -) (to) (y + 3)

= y

Combining solution in case 1 and Case 2
= x

= -3

Related:  The probability that kebba, Ebou and Omar will hit a target are (frac{2}{3}), (frac{3}{4}) and...