Mr. Hernandez plotted the point (1, 1) on Han’s graph of y ≤ x + 2. He instructed Han to add a second inequality to the graph that would include the solution (1, 1).Which equation could Miguel write?
Answer
A
y > 2x + 1
B
y < 2x – 1
C
y ≥ 2x + 1
D
y ≤ 2x – 1
Explanation
For the point (1, 1), substitute x = 1 and y = 1 into each inequality. Choice D gives 1 ≤ 2(1) − 1, or 1 ≤ 1, which is true, so y ≤ 2x − 1 includes the point.
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