Question

Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities.
y, is greater than, minus, start fraction, 5, divided by, 6, end fraction, x, minus, 6
y>−
6
5
​
x−6
y, is greater than, one third, x, minus, 3
y>
3
1
​
x−3
x
y
Answer
Multiple Choice Answers
left parenthesis, 0, comma, minus, 5, right parenthesis(0,−5)
left parenthesis, minus, 7, comma, minus, 7, right parenthesis(−7,−7)
left parenthesis, minus, 9, comma, minus, 1, right parenthesis(−9,−1)
left parenthesis, 6, comma, 3, right parenthesis(6,3)

Answer 1

(6, 3)

Check: for (6,3),
- y > −(5/6)x − 6 gives 3 > −(5/6)(6) − 6 = −5 − 6 = −11 (true),
- y > (1/3)x − 3 gives 3 > (1/3)(6) − 3 = 2 − 3 = −1 (true).