Solve the inequality. 1/5+1/3x> 1/2x-1/4

1/5 + 1/3·x > 1/2·x - 1/4

1/3·x - 1/2·x > - 1/4 - 1/5

2/6·x - 3/6·x > - 5/20 - 4/20

- 1/6·x > - 9/20

1/6·x < 9/20

x < 54/20

x < 27/10

x < 2.7

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

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