Graph the equation below 6x - 5y > - 5

Check the image.

Step-by-step explanation:

First we draw the line 6x-5y=-5 Use the method you prefer, find 2 points or write it in segment form, get it to slope-intercept, any works.

At that point the easiest way to solve it is to plug a convenient point (read: if you can use the origin, you use the origin!) and see if the inequality holds:

which is indeed true. It means that the part of plane that contain 0 is part of the solution. A good way to mark the line is not part of the solution is to keep it dotted instead of solid, or draw it really thin.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15