Solve the in equality and write the solution set. then graph the solution set. 1/2(n+3)< 1/5(n-6)

n < -9

For The Graph:

I cant see the graphs very well but i can describe it to you. There will be a non filled in circle on -9 and the line will be going toward the left.

Step-by-step explanation:

1/2 * (n + 3) < 1/5 * (n - 6)

Multiply Both Sides By 2

n + 3 < 2/5 * (n - 6)

Distribute 2/5 Through Parenthesis

n + 3 < 2/5n - 12/5

Multiply Both Sides By 5

5n + 15 < 2n - 12

Move The Variable And The Constant to the Left And Change Their Signs

5n - 2n < -12 - 15

Collect Like Terms and Subtract

3n < -27

Divide Both Sides By 3

n < -9

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

just pick what you think i need more time let me know if this

step-by-step explanation: