Question

Which of the following ordered pairs represents a solution to the linear inequality y>2x-3

Answer 1

Answer:

The solution of the inequality in the attached figure

Step-by-step explanation:

we have

$y> 2x-3$

we know that

The slope of the dashed line is positive $m=2$

The equation of the dashed line is $y=2x-3$

The y-intercept of the dashed line is the point $(0,-3)$

The x-intercept of the dashed line is the point $(1.5,0)$

Graph the inequality

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

see the attached figure

Remember that

If a ordered pair is a solution of the inequality

then

the ordered pair belong to the shaded area and the ordered pair must satisfy the inequality