Mathematics

Which of the following could be the inequality illustrated in the sketch graph above?

Which of the following could be the inequality illustrated in the sketch graph above?

  • A.
    y≥2x+3
  • B.
    y≤-3x+3
  • C.
    y
  • D.
    y≤x +3
  • E.
    y≥3x+2.
Correct Answer: Option B
Explanation

Gradient of the line = (frac{3 – 0}{0 – 1})

= -3

y = -3x + b.

Using (1,0), we have

0 = -3(1) + b

0 = -3 + b

b = 3

y = -3x + 3

(therefore) The graph illustrates y (leq) -3x + 3.