Question

Graph the inequality. x + 2y > 4

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$x+2y > 4$

Isolate the variable y

subtract x both sides

$2y > -x+4$

Divide by 2 both sides

$y > -\frac{1}{2}x+2$

The solution of the inequality is the shaded area above the dashed line

$y=-\frac{1}{2}x+2$

The slope of the dashed line is negative

The y-intercept of the dashed line is (0,2)

The x-intercept of the dashed line is (4,0)

therefore

The graph in the attached figure