Select the point that satisfies y ≤ x2 - 5x + 6. a. (1,1) b. (4,4) c. (2,2) d. (3,3)

(1,1)

Explanation:

1) You may replace the four pair of data and find which satisfaties the restriction (inequality).

2) This is each the substitution for each pair:

1) Pair (1,1)

y = 1
x² - 5x + 6 = 1² - 5(1) + 6 = 1 - 5 + 6 = 2
1 < 2 then this pair satisfies the inequality.

2) Pair (4,4)

y = 4
x² - 5x + 6 = 4² - 5(4) + 6 = 16 - 20 + 6 = 2
4 > 2, then this pair does not satisfy the inequality

3) Pair (2,2)

y = 2

x² - 5x + 6 = 2² - 5(2) + 6 = 4 - 10 + 6 = 0
2 > 0, then y > x² - 5x + 6 and this pair does not satisfies the inequality.

4) (3,3)

y = 3
x² - 5x + 6 = 3² - 5(3) + 6 = 9 - 15 + 6 = 0

3 > 0, then this pair does not satisfy the inequality.