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, 3, x, minus, 4
y>−3x−4
y, is greater than, x, plus, 1
y>x+1
x
y
Answer
Multiple Choice Answers
left parenthesis, 3, comma, minus, 5, right parenthesis(3,−5)
left parenthesis, minus, 3, comma, minus, 8, right parenthesis(−3,−8)
left parenthesis, 7, comma, 10, right parenthesis(7,10)
left parenthesis, minus, 4, comma, 2, right parenthesis(−4,2)

Answer 1

Check each point by substituting into both inequalities:

1. (3, −5): −5 > −3(3) − 4 = −13 (true), but −5 > 3 + 1 = 4 (false).
2. (−3, −8): −8 > −3(−3) − 4 = 5 (false).
3. (7, 10): 10 > −3(7) − 4 = −25 (true) and 10 > 7 + 1 = 8 (true).
4. (−4, 2): 2 > −3(−4) − 4 = 8 (false).

Only (7, 10) satisfies both inequalities.