Question

using the graphing calculator to include a solution mr. hernandez plotted the point (1, 1) on hans graph of y ≤ 1/2x + 2. he instructed han to add a second inequality to the graph that would include the solution (1, 1). which equation could miguel write? y > 2x + 1 y < 2x - 1 y ≥ 2x + 1 y ≤ 2x - 1

Explanation:

Step1: Substitute x = 1 and y = 1 into each inequality.

For $y>2x + 1$, when $x = 1$, $2x+1=2\times1 + 1=3$, and $1
gtr3$.
For $y<2x - 1$, when $x = 1$, $2x - 1=2\times1-1 = 1$, and $1
less1$.
For $y\geq2x + 1$, when $x = 1$, $2x+1=3$, and $1
geq3$.
For $y\leq2x - 1$, when $x = 1$, $2x - 1=1$, and $1\leq1$ holds.

Answer:

$y\leq2x - 1$