Question

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 \(1
ot>3\).
For \(y<2x - 1\), when \(x = 1\), \(2x - 1=2\times1-1 = 1\), and \(1
ot<1\).
For \(y\geq2x + 1\), when \(x = 1\), \(2x+1=3\), and \(1
ot\geq3\).
For \(y\leq2x - 1\), when \(x = 1\), \(2x - 1=1\), and \(1 = 1\), so the point \((1,1)\) satisfies \(y\leq2x - 1\).

Answer:

D. \(y\leq2x - 1\)