Question

Which option shows the graph of 2y-10 < 3x?

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$2y-10 < 3x$

isolate the variable y

Adds 10 both sides

$2y < 3x+10$

Divide by 2 both sides

$y < 1.5x+5$

The solution of the inequality is the shaded area below the dashed line $y=1.5x+5$

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,5) (value of y when the value of x is equal to zero)

The x-intercept of the dashed line is (-3.33,0) (value of x when the value of y is equal to zero)

using a graphing tool

The graph in the attached figure